Question

1.  A motorcyclist traveling with a constant speed of 15m/s passes a school crossing corner, where the speed limit is 10m/s. Just as the motorist passes the school crossing sign, a police officer on a motorcycle stopped there, starts in pursuit with a constant acceleration of 3.0m/s2.

I.  How much time elapses before the officer meets the motorist? 

II. What is the Police officer’s speed at that time? 

III. At that time, what distance have each vehicle traveled

Answer 1

1)

$$15t=0.5(3)t^2\\t=10\ s$$

2)

$$v=3(10)=30\frac{m}{s}$$

3)

$$S=15(10)=150\ m$$