Question

2. A police car accelerates quickly to 60m/s in pursuit of a minivan recklessly speeding along the highway at a speed of 45m/s. How long will it take the police car to catch-up with the minivan if it was 600m ahead from the police car at the beginning of the chase?(Show thestep-wise working) (a)40s (b)10s (c)15s (d)none of the above

Answer 1

Answer:

A police car accelerates quickly to 60m/s in pursuit of a minivan recklessly speeding along the highway at a speed of 45m/s. Take the police car 40 seconds to catch-up with the minivan if it was 600m ahead from the police car at the beginning of the chase

Explanation:

To work out this question, let's calculate the relative speed.

The relative speed for the police car and the minivan is given by:

Relative speed = Speed of the police car - speed of the mini van

This equals to = 60 - 45 = 15 m/s

The relative distance between them is 600 m

The time taken by the police to catch up with the van is given by:

Time = Relative distance/relative speed

Doing the substitution we have:

Time = 600/15 = 40 seconds

So, the police takes 40 seconds to catch up with the minivan.