A car that was being pursued by the police was at Jones Beac

A car that was being pursued by the police was at Jones Beach at exactly 9:42 pm (t = 9.7) and passed Oak Beach (15 miles from Jones Beach) at exactly 9:54 pm, where it was overtaken by the police.

a. How fast was the car travelling

b. how far was the car from Jones beach at time t?

Solution

a.

Let speed of car be u and speed of cop car be v

Let distance between cop car and car at t=9.7 be: d

So at t=9.9 the cop car overtakes the car

So

15=u*0.2

Hence, u=75 miles per hour

b.

At t=9.7 it is at 0 distance and it travels at 75 miles per hour

So at time t is is at: 75(t-9.7) ,t>=9.7