Question

a police officer parked on the side of the rode clockes a driver at a constant 130km/h (passing the stopped car). if the officer can accelerate at 12 km/h/s, how long will it take her to catch up to the car? how fast will the polive officer be going as she comes even with the car?

Answer 1

Answer

given,

speed of the vehicle = 130 Km/h

officers accelerates at = 12 km/h/s

time taken by the driver to catch the vehicle = ?

at time t second

$130 t = \dfrac{1}{2}at^2$

$260 t - 12 t^2 = 0$

t (12 t - 260 )= 0

12 t =  260

t = 21.67 s

v = u + at

v = 12 × 21.67

v = 260 Km/h