As the assistant to the stunt coordinator of a movie, your job is to plan a chas

Question

As the assistant to the stunt coordinator of a movie, your job is to plan a chase scene in which the hero catches the villain just before he reaches the state line. The hero is to wait 1.6 km from the line and begin accelerating toward it just as the villain passes him traveling 50 m/s. Find how long it takes for the pair to reach the state line. Find the constant acceleration needed for the hero's car. Find the speed of the hero's car just as he reaches the state line. Sketch the graph of the position vs. time for the hero and the villain. On the axes below, tf is the time it takes for the two to reach the state line.

Explanation / Answer

Time taken to reach state line = Distance / speed of Villan
Time taken to reach state line = 1600 / 50
Time taken to reach state line = 32 s

(b)
Initial Velocity of hero = 0
Distance = 1600 m
Time = 32 s

S = u*t + 0.5at^2
1600 = 0 + 0.5 *a *32^2
a = 3.125 m/s^2

Acceleration of Hero car, a = 3.125 m/s^2

(c)
V = u+at
V = 0 + 3.125 * 32
V = 100 m/s

Speed of Hero car just before state line, V = 100 m/s

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