Relative Velocity in a Left-Hand Turn

In summary, two cars, A and B, are turning left with different radii. Car A is passing Car B with a relative velocity of 1 m/s while Car B has a radius of 96m and Car A has a radius of 100m. Both cars have constant speeds and the relative acceleration of Car A with respect to Car B is .25 m/s^2 directed towards the center of curvature. We can determine the speed of Car A to be 25 m/s and the speed of Car B to be 24 m/s.
  • #1
jaredmt
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Homework Statement


Cars A and B are going around a left-hand turn. car B is turning with radius 96m. Car A is to the right of car B and is turning with radius 100m.
Car A is passing car B with relative velocity of 1 m/s. Knowing that the speeds of both cars are constant and that the relative acceleration of car A with respect to car B is .25 m/s^2 directed toward the center of curvature, determine (a) the speed of car A and (b) the speed of car B.


Homework Equations





The Attempt at a Solution



im not sure what to do, there's a lot of formulas in this chapter. i tried a few things but nothing worked. the answer for (a) is 25 m/s but i don't know how I am supposed to get that
 
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  • #2
ok nevermind. i just figured it out haha
 

FAQ: Relative Velocity in a Left-Hand Turn

1. What is relative velocity?

Relative velocity is the measurement of the motion of one object with respect to another object. It takes into account the speed and direction of both objects to determine their relative motion.

2. How is relative velocity calculated?

Relative velocity is calculated by subtracting the velocity of one object from the velocity of the other object. This results in the relative velocity vector, which represents the speed and direction of the first object relative to the second object.

3. Why is relative velocity important?

Relative velocity is important because it allows us to understand and predict the motion of objects in relation to each other. It is used in various fields such as physics, engineering, and navigation to calculate the movement of objects and make accurate predictions.

4. How does relative velocity differ from absolute velocity?

Absolute velocity is the velocity of an object with respect to a fixed reference point, such as the ground or an observer. Relative velocity, on the other hand, is the velocity of an object with respect to another moving object. In other words, it takes into account the motion of both objects, while absolute velocity only considers the motion of one object.

5. Can relative velocity be negative?

Yes, relative velocity can be negative. This means that the two objects are moving in opposite directions. If the relative velocity is positive, it means that the objects are moving in the same direction.

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