How to calculate relative velocity of two cars. so Vab=Va-Vb=20-5= 15 m/s.

How to calculate relative velocity of two cars. The concept of relative velocity is used in physics to determine how fast an object is moving with respect to another object. Bullet one is fired in the north direction with the muzzle velocity 1 Two cars started their journey from point A and B 150 km apart on the same road towards each other. The calculator assumes a perfectly inelastic collision where the two objects move together after the collision. I have a car that is $14m$ behind a lorry. Given that 퐞 is a unit vector in the direction of movement of car A, determine the velocity of car A relative to car B. Why do we calculate relative velocity? It helps compare the motion of two objects. Learn its equations and units. Relative velocity is the velocity of an object as observed from a particular reference frame, and it varies … The conservation of momentum calculator will help you determine the initial and final speed of two colliding objects. By default there are only two decimal places. This is crucial for understanding how fast each car is going. Given that car 퐴 is moving in a positive direction, determine its relative velocity with respect to 퐵. Such a tool is indispensable in physics What is Relative Velocity? Relative velocity is a fundamental concept in physics that describes the velocity of an object as observed from another moving reference frame. Speed is how fast something moves. Consider the case shown in Figure 2. It computes the relative velocity, which is essential in understanding how fast one object is moving relative to another. Solution: When they move in opposite direction, Their relative speed = (4 + 6) km/hr = 40 km/hr Time taken = 10 How do we calculate the velocity of one object as seen by another object? In this video, we will intuitively figure out how to calculate relative velocities with some examples. Nov 21, 2023 · Learn to define what relative velocity is. How to find the minimum separation ( Closest Approach ) between two moving cars/particles? Download the app "physics moonshot" from google play store or by the link below for free doubt clearing To someone hitchhiking along a highway, two cars speeding by in adjacent lanes seem like a blur. The car's initial velocity is $20 ms^{-1}$ and it is decelerating at $7. Nov 21, 2023 · Imagine Car A is moving west at 20 m/s and Car B is moving west at 5 m/s. Jun 10, 2025 · Relative velocity is the motion of one object as seen from another object that is also moving. Feb 8, 2025 · Learning Objectives Explain the concept of reference frames. Just as you can calculate instantaneous speed, you can also calculate instantaneous velocity. It’s a vector quantity, which means it has both magnitude (how fast) and direction This topic is part of the HSC Physics course under the section Motion on a Plane HSC Physics Syllabus calculate the relative velocity of two objects moving along the same line using vector analysis describe and analyse, using vector analysis, the relative positions and motions of one object relative to another object Sep 26, 2025 · Enter the velocity of an object A to an object B, and the velocity of an object B to an object C to determine the relative velocity of A to C. But what is this relativity concept? In short, the concept of relative motion or relative velocity is all about understanding frame of reference. Created by Mahesh Shenoy. Solution : Both Car A and car B meets the truck. However, participants noted challenges in further solving the problem, particularly when This advanced velocity calculator helps you calculate average speed, starting speed, time and distance traveled. But if the cars have the same velocity, each driver sees the other remaining in place, one lane away. Interpret a graph of velocity vs. For example, if a car is moving at 60 km/h east and a truck is moving at 40 km/h east, the relative velocity of the car with respect to the truck is 60 km/h - 40 km/h = 20 km/h east. Dec 11, 2024 · The Collision Speed Calculator helps determine the speed of an object at the moment of collision. The faster car passed on oncoming truck 10 hours later. Aug 5, 2025 · Calculating the Relative Velocity: The Math Behind It Alright, let's get down to the nitty-gritty and calculate the relative velocity in our car scenario. find the distance between them after 10 minutes if they move in the same direction. scienceready. Therefore, the The velocity that the viewer observes the object moving at is not the actual velocity of the object, it is the relative velocity. The process of using your speed in conjunction with the relative velocities of the other cars to find the other cars' speed is relative motion analysis. Train is travelling with the velocity v in north direction. Calculate velocity and speed given initial position, initial time, final position, and final time. You overtake a car traveling at 50 mph. First Feb 3, 2024 · I have the following problem but I'm not sure how to get started. Let us now consider how we can calculate relative velocities. What is Relative Velocity? Relative velocity refers to the velocity of one object as observed from another object’s frame of reference. Understanding relative velocity is crucial for analyzing motion in different frames of reference. Two objects have zero relative speed if they are moving with the exact same velocity (i. Sep 14, 2017 · The red car travels at a constant velocity of 20 m/s and has a 5-minute head start, covering 6000 meters before the blue car, which travels at 30 m/s, begins its journey. Relative velocity tutorial for Honors Physics. Clearly, the velocity of an object is relative to the observer who is making the Relative Velocity is the velocity of an object with respect to another observer. In this detailed explanation, we will explore the Jan 16, 2023 · The water, however, is not still. How to find it. We will call your direction of travel the positive direction. Aug 11, 2019 · The Main Idea Velocity is a relative property, meaning that its value depends on the frame of reference from which it is observed and has no absolute "true" or "correct" value. Opposite Direction When two objects are moving in opposite directions, the relative speed is the sum of their individual speeds. Useful in physics, aviation, driving, etc. In both examples presented, the relative velocity is the same, yet the kinetic energy differs due to the way it's calculated, impacting the damage sustained. To make this explicit, we write . This tool is essential for analyzing motion dynamics, understanding impact scenarios, and improving safety designs. Derive a graph of velocity vs. A gun is mounted on a train roof . patreon. The car started from A traveled at a constant speed 10 km/hr more than that of hat also traveled at a constant speed. (See Figure 2. In the simplest terms, relative velocity is how fast and in what direction one object is moving as seen from another object in motion. Understanding Relative Speed Scenario 1: Moving in the Same Direction When two objects are moving in the same Sep 15, 2024 · Identifying the Variables for Same-Direction Speed Difference Calculating the speed difference between two cars moving in the same direction is key. How do you calculate at which Two cars traveling in opposite directions: If one car is moving east with a velocity of 20 m/s and another car is moving west with a velocity of 15 m/s, their relative velocity would be the sum of their velocities, which is 35 m/s. This is less complicated than it sounds. When two objects are in motion, their relative velocity is the vector sum of their individual velocities, depending on their direction Use the Relative Motion Calculator to determine the relative speed between two objects considering linear and rotational motion. Velocity is speed with a direction. 6 ms^{-2}$, whil In each of these situations, an object has a velocity relative to a medium (such as a river) and that medium has a velocity relative to an observer on solid ground. The two cars crossed each other after 72 minutes . Classical Velocity Addition For simplicity, we restrict our consideration of velocity addition to one-dimensional motion. For example, if two cars are moving in the same direction, the car behind will appear to move slower than its actual speed because the car in front is also moving. The Physics Classroom removes the difficult with this easy to understand Tutorial on the analysis of relative velocity situations. Here learn the relative velocity formula with a few solved examples. How to calculate relative velocity in two dimensions? Jul 23, 2025 · Relative velocity of A with respect to B = - Relative velocity of B with respect to A Henceforth, the magnitude of both relative velocities are equal to each other. Draw the position and velocity vectors for relative motion. e. Initial Velocity (v o): Meters per Second Acceleration (a): Meters per Second Time (t): Seconds Velocity (v): Meters per Second You may set the number of decimal places in the online calculator. The two cars traveling same direction different speeds calculator app uses speed, time, and distance to find the relative speed. How do you calculate relative velocity? You calculate it by summing the velocity of one object relative to a second object and the velocity of the second object relative to a third. In simpler terms, it is the rate at which the distance between two objects changes, measured from a specific point of view. If you travel at a speed of 60 kilometers per hour for 2 hours, you will have traveled 120 Nov 4, 2019 · Distance between cars = $\sqrt {\text {difference of horizontal positions of cars}^2 + \text {difference of veritical position of cars}^2}$ So we need to figure the horizontal and distances of each car. Relative acceleration is the acceleration of one object with respect to another. Oct 3, 2008 · 2. Discover the relative velocity formula. Calculate the distance between the cars after 30 minutes given that both cars are traveling in the opposite direction? Solution: Speed of 1st Car = 10 km/hr Speed of 2nd Car = 5 km/hr Time = 30 minutes = 1/2 hr Relative Speed of Cars = (10+5) km/hr = 15 However, when two bodies are travelling in opposition to one another, the relative speed is calculated by adding the speeds of the two bodies. A tool to calculate the relative speed by entering the speeds and directions of two objects. Jun 16, 2018 · Two cars A and B are running at velocities of 60km/hr and 45km/hr respectively calculate the relative velocity of car A if they are both travelling - 4204463 Relative Velocity Relative Motion You’ve probably heard the saying “motion is relative. au 🏅 Become a Patron: https://www. 14 Relative Velocity Suppose you are driving down the highway at 60 mph. By correctly applying the concept of relative velocity, we can determine the relative speed between two objects or reference points. find the distance between them after 10 minutes if they move in the opposite direction. This calculation is not just about determining speed but also about direction, making it a vector quantity analysis. Explain the concept of reference frames. Two cars 𝐴 and 𝐵 are moving in the same direction on a straight road, where the velocity of car 𝐵 relative to car 𝐴 is 34 km/h. Analyze one-dimensional and two-dimensional relative motion problems using the position and velocity vector equations. Explain the relationships between instantaneous velocity, average velocity, instantaneous speed, average speed, displacement, and time. In this module, we Relative speed refers to the speed of one moving body in relation to another. , the same speed and in the same direction). This concept applies to scenarios such as cars on highways, trains, boats in rivers Oct 10, 2014 · Let's say an there are two objects or vehicles, both of them travel towards the same direction with constant velocities, the other object being slower than the other. See examples of This velocity calculator is a comprehensive tool that enables you to estimate the speed of an object. Relative velocity is a fundamental concept in Physics, especially in kinematics, that describes how fast and in what direction one object is moving relative to another. It’s used in driving, flying, and physics. In this paper a method is The relative velocity is the velocity that the body A would appear to an observer on the body B and vice versa. Aug 8, 2024 · Enter the masses and velocities of two colliding objects into the calculator to determine the collision speed. The velocity of the object relative to the observer is the sum of these velocity vectors, as indicated in Figure 1 and Figure 2. Hopefully most of you are comfortable with this scenario. This physics video tutorial provides a basic introduction into relative velocity problems in one dimension. What is the relative velocity of car B with respect to A? Solution The relative A relative velocity problem can be one of the most difficult problems in a physics course. This concept helps describe how fast one object seems to move relative to another. Whether it’s cars on a highway or airplanes in the sky, relative velocity plays a significant role in our daily lives and various scientific fields. A car is also moving on a parallel track with train with velocity w in north direction. If car 𝐴 slowed down to a quarter of its velocity, the velocity of car 𝐵 relative to car 𝐴 would be 76 km/h. Jan 22, 2018 · The discussion centers on the relative velocities of two cars colliding and the resulting damage. time. What is the velocity of car 2 relative to car 1? i don't understand how to solve this? could someone help, are the relative velocities different? Of course we can help you solve the question, but we won't do it for you. In the first example, both cars come to a stop, while in the second, one car continues moving, which may affect post-collision dynamics. Why is relative velocity important? Aug 31, 2024 · 2. We can readily generalize this equation. Mar 16, 2025 · Learning Objectives Explain the concept of reference frames. com/@hs Now we will learn to calculate when two object move in opposite direction at different speeds. When we say an object has a certain velocity, This, by definition, is 50 km/h, which suggests that the prescription for calculating relative velocity in this fashion is to add the two velocities. For example, if two cars are travelling at different speeds and one car accelerates, the relative acceleration between the two cars is the difference in their accelerations. The first one relies on the basic velocity definition that uses the well-known velocity equation. To find when the two cars meet, the distances traveled by both cars must be equal. Planes flying in the presence of winds and boat moving in the presence of river currents are discussed in detail. How do we calculate the velocity of one object as seen by another object? In this video, we will intuitively figure out how to calculate relative velocities with some examples. It plays a crucial role in various fields, such as mechanics, fluid dynamics, and even in everyday scenarios like driving a car or flying an airplane. Sep 8, 2023 · This is the velocity at which the other car is moving away from you. Solved Example Problems for Relative Velocity in One and Two Dimensional Motion Example 2. com. Two cars travel from the same location at the speed of 10 km/hr and 5 km/hr respectively. The resultant velocity calculator allows you to add up to five different velocity vectors, determining the absolute value of the resultant velocity, its direction, and its x and y components. For example, consider two cars headed opposite directions on I-5, both traveling at 60 mph. The What is Relative Velocity? Relative velocity in simple words can be defined as the velocity of an object with respect to its observer. To calculate relative velocity in one dimension, subtract the velocity of the reference frame from the velocity of the object. But when two bodies are moving in the opposite direction, the relative speed is calculated by adding the speed of both the bodies. ) Explain the concept of reference frames. tiktok. An hour after that, the slower car and the truck also passed each other. Car A meets the truck in 10 hours. The TTC Formula The TTC formula is based on the concept of relative motion between two vehicles or a vehicle and an obstacle. We'll then write down the general expression for calculating relative velocity. In this scenario, the distance between them remains constant. . It's particularly useful in problems involving two moving objects, such as cars on a highway or trains on parallel tracks. Saying Ariel the Dog runs at 9 km/h (kilometers per hour) is a speed. How to calculate the relative velocity of two cars? Subtract the slower car’s speed from the faster car’s speed if both move in the same direction. Two cars A and B are moving in opposite directions on the same road at 62 km/h and 31 km/h respectively. Clearly, the velocity of an object is relative to the observer who is making the The velocity calculator can be used to find the object'svelocity and perform calculations for displacement, time, and acceleration. ABSTRACT The change of a vehicle’s velocity, delta-V ( v), due to an impact is often calculated and used in the scientific investigation of road traffic collisions. Classically, velocities add like regular numbers in one-dimensional motion. Defining V → W ⁢ G to be the velocity of the water relative to the ground, V → B ⁢ W to be the velocity of the boat relative to the water, and V → B ⁢ G to be the velocity of the boat relative to the ground; we have Solving this problem is just a matter of following the vector addition recipe. It is particularly important when two or more objects are in motion and helps to analyze their behavior from different frames of reference. It is a vector quantity, meaning it has both magnitude and direction. The second method calculates what is velocity change caused by acceleration over a specific time Now we will learn to calculate when two object move in same direction at different speeds. Car B meets the truck in 11 hours. A frame of reference Sep 21, 2023 · Linear velocity is found in numerous aspects of our daily lives. Example 1 : Two cars traveling at 62 km/hr and 54 km/hr respectively, left Town A for Town B at the same time. Learn how to calculate relative velocity. Two bullet are fired from the muzzle of the gun . The difference in speed between two bodies moving in the same direction is used to calculate their relative speed. The velocity of an object A relative to another object B is the velocity that object A would appear to have to an observer moving with B. What are average and instantaneous velocities. Let us understand the concept of relative velocity in brief in this part. In this video, we will learn how to calculate the relative velocity of a particle with respect to another and how to calculate a relative velocity vector. When two objects are moving in the same direction, you simply subtract the velocity of the object you're observing from the velocity of the object you're interested in. In Calculate velocity, distance, and time using kinematic equations with our free velocity calculator, ideal for physics problems and motion analysis tasks. What I have done is : S May 13, 2025 · To calculate the relative velocity between Car A and Car B, we need to consider the velocities of both cars concerning a common reference point, which, in this case, is Observer O1. It explains the concept of the frame of reference and how it's used to determine the At t=0 car traveling at a constant velocity of 25m/s is 100m behind a car traveling in the same direction at a velocity of 20m/s. ” Or perhaps you’ve heard people speak about Einstein’s Theory of General Relativity and Einstein’s Theory of Special Relativity. If you have ever wondered how to find velocity, here you can do it in three different ways. What is the difference between speed and velocity. Sep 27, 2024 · This article aims to demonstrate the practical application of the TTC formula to real-world situations, highlighting its importance in improving road safety. Suppose that we have two bodies, 𝐴 and 𝐵, such that the velocity of 𝐴 is 𝑣 and the velocity of 𝐵 is 𝑣 . What is the relative velocity of car B with respect to A? Solution The relative To discuss relative motion in one or more dimensions, we first introduce the concept of reference frames. By calculating collision speed based on factors such as initial velocity, acceleration, distance, and time, the calculator provides valuable insights for engineers, accident By knowing your speed, and by observing how fast the cars are moving away from you or towards you, you could determine, or at least estimate how fast these cars are going. Solution: When they move in same direction, Their relative speed = (6 – 4) km/hr = 2 km/hr Time taken = 10 minutes Understanding relative velocity is essential for grasping the dynamics of motion between objects. The initial approach to derive the relative velocity was deemed correct, yielding a magnitude of relative velocity expressed as v_rel = √ (2v² (1-cos (φ+ωt)). time given a graph of position vs. Solved examples: Two athletes are running from the same place at the speed of 6 km/hr and 4 km/hr. This effectively brings one to rest and we then consider the velocity of the other car relative to it. Relative Velocity Problems 1) What is relative velocity? Answer: Relative velocity is defined as the velocity of an object B in the rest frame of another object A. The kayak’s velocity is the vector sum of its velocity relative to the water and the water’s velocity relative to the riverbank. What was the speed of car that started from point B . 2) A motorcycle travelling on the highway at a velocity of 120 km/h passes a car travelling at a velocity of 90 km/h. As we have just calculated, the relative velocity is obtained by “relative velocity = velocity of the opponent – velocity of the observer”. Also gives an interactive table with formulas and definitions. com/scienceready🎶 Follow our Tiktok https://www. For example, if Car A is moving at 60 km/h and Car B is moving at 40 km/h in the opposite direction, the relative speed is: Sep 9, 2023 · The discussion centers on calculating the relative velocity of two particles, one moving in a circular path and the other in a straight line. Summary Calculating relative speed is an essential skill in analyzing the motion of objects moving along a straight line. This is because the position and therefore velocity of an object can only be defined relative to some coordinate system determined by the frame of reference chosen to model the situation. Whether it's cars on a highway or boats on a lake, knowing how to calculate relative velocity helps us make sense of the world around us. Sep 22, 2023 · Relative velocity Formula is a fundamental concept in physics and engineering that describes how the motion of one object appears when observed from the perspective of another moving object. Let the velocities of A and B be 35 km h-1 due east and 40 km h-1 due east respectively. These situations are only two of many in which it is useful to add velocities. The relative velocity formula helps in understanding how fast two objects are moving with respect to each other Relative velocity is a measure of velocity between two objects as observed in a single frame of reference. You need to show some effort in solving the question yourself before we can help you. The formula for relative velocity is actually pretty straightforward. Two cars 퐴 and 퐵 are moving at 142 km/h and 19 km/h in opposite directions. By calculating the relative velocity, we gain insight into how fast one object is moving concerning another. The difference between relative speed and relative velocity is that relative speed is the scalar quantity whereas relative velocity is the vector quantity. 📖 Visit our website: http://www. Here are some examples: Car Driving : When you drive a car, you are constantly calculating and adjusting your linear speed to maintain a safe speed and reach your destination on time. In isolation however, this figure does not yield any information concerning the actual velocities of the vehicles and such information is often of prime concern to those investigating collisions. Write the position and velocity vector equations for relative motion. Relative velocity Conceptual questions A. Q: How does the time to meet change with the initial distance between the cars? How do we calculate the velocity of one object as seen by another object? In this video, we will intuitively figure out how to calculate relative velocities with some examples. The situation is a little more complex when the motion of the two objects is not in the same straight line. so Vab=Va-Vb=20-5= 15 m/s. Consider two objects A and B moving uniformly with average velocities vA&vB v A & v B in one dimension, say the x-axis. So the next time you see a car Oct 3, 2024 · What is relative velocity? Relative velocity is the measure of the velocity of one object as observed from another moving object. Setting up the equation (300+t) * 20 = 30t leads to solving for t, which results in 600 seconds for the blue car's travel time. Take north as positive and south as negative Question 1. If two frames of reference are Jun 14, 2024 · Both cars' speedometers read 50 km/hr, so they both have the same speed. How to Calculate Relative Speed? Relative speed is a concept in physics that helps us understand how fast one object is moving in relation to another object. Do you Know ? Relative velocity is that when two objects are moving towards each other, their relative velocity is the sum of their individual velocities, not the difference. From the point of view of a passenger on the car, what is the velocity of the motorcycle? Solution: Let us Mar 19, 2024 · The Relative Motion Calculator is an invaluable tool designed to simplify the analysis of motion between two objects. Distance To someone hitchhiking along a highway, two cars speeding by in adjacent lanes seem like a blur. By the end of this section, you will be able to do the following: Describe motion in different reference frames Define distance and displacement, and distinguish between the two Solve problems involving distance and displacement Jul 28, 2023 · What is velocity. Calculate the time and position at which the faster car will Relative velocity means the speed of a moving object with respect to another moving object. The hitchhiker observes a velocity of perhaps 30 m/s, but each driver observes the other’s velocity to be zero. Jun 2, 2024 · A: Calculating the time to meet for two cars is important in various situations, such as determining the safe distance between cars on a highway or predicting the time of arrival at a destination. 26 Suppose two cars A and B are moving with uniform velocities with respect to ground along parallel tracks and in the same direction. It is the difference between the acceleration of the two objects. How to Calculate Relative Speed? Keep in mind that the two bodies that are moving at different speeds but in the same general direction. The relative motion (velocity) of Car A to Car B is given by the difference in their velocities. Mathematically speaking the relative velocity is the vector difference between the velocities of two bodies. Find the speed of the truck. Jul 16, 2020 · Velocities in two dimensions are added using the same analytical vector techniques. From your point of view, that car is moving backwards, with a velocity of -10 mpg. Jul 16, 2024 · Relative Velocity Formula – Formula, Derivation, Applications, Example Problems What is Relativity Velocity Formula? Relative velocity is a key concept in physics that describes the velocity of an object or observer A in relation to the velocity of another object or observer B. The formula is as follows: TTC = (Δv + v1) / (a1 + a2) Solved Example Problems for Relative Velocity in One and Two Dimensional Motion Example 2. As they approach each other, the speed of one car relative to the other is 120 mph (60 mph + 60 mph = 120 mph). However, since they are moving apart from each other, we say that one car has a velocity of -50 km/hr and one has a velocity of 50 km/hr. To do this we must add the negative of the velocity of one car to both cars' velocities. Thus, when both you and the opponent are moving, the velocity of the opponent as seen from you is called “relative velocity”. nj0dx llj rf1u 9yz ghkjep 0qbptc 518 crk4d mbvh lrs