Relative Velocity in a Left-Hand Turn

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Cars A and B are navigating a left-hand turn, with car B having a turning radius of 96m and car A a radius of 100m. The relative velocity of car A with respect to car B is 1 m/s, and their speeds are constant. The relative acceleration of car A towards car B is 0.25 m/s². The solution reveals that the speed of car A is 25 m/s, while the speed of car B remains undetermined in the discussion. The participant initially struggled with the problem but eventually solved it.
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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ok nevermind. i just figured it out haha
 

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