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A car is intially, at t = 0 s, moving at 10 m/s in the positive x direction while accelerating constantly and after 5 seconds it has traveled a displacement of 100 meters in the positive x direction. It then, instantaneously (not physically realistic, however), changes its acceleration (second accelearation is constant) and 10 seconds after it has changed its acceleration, its displacement is 50 meters in the negative x direction of where it intially started (50 meters in the negative x direction of where it was at t = 0 s).

Answer the following:

a) What is the velocity of the car when it is 50 meters in the negative x direction of where it initially started?

b) What is the average velocity for the whole trip?

c) What is the average speed of the whole trip remembering average speed is the total distance traveled divided by the time taken to travel that distance?

d) Starting at t = 0 s, how long does it take (in total) for the car's average velocity to be zero?

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