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Velocity, acceleration, and constant speed

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January 23rd, 2023

A motorcycle is following a car that is traveling at constant speed on a straight highway. Initially, the car and the motorcycle are both traveling at the same speed of 42.0 mph, and the distance between them is 60.0 m. After = 5.00 s, the motorcycle starts to accelerate at a rate of 8.00 m/s2. The motorcycle catches up with the car at some time.

How far does the motorcycle travel from the moment it starts to accelerate (at time t1) until it catches up with the car (at time t2)?

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