Answer:
t = 20s
Explanation:
In order for the police car to capture the other car, both cars must travel the same length.
The distance traveled by the first vehicle is:
S = ^ Vt = 40t, where t represents the elapsed time and V the vehicle speed.
The distance traveled by the police car is:
S = at ^ 2/2 = 2t ^ 2, where t represents the elapsed time, a is the acceleration of the car.
As the distances traveled are equal:
40t = 2t ^ 2 in this way t = 20s
