Answer to Question #180796 in Physics for Nark

Question

A blue car is moving at a constant speed of 70 m/s when it passes signage with a police 

officer beside it. Due to the car’s over speeding, the police officer chases it with a constant 

acceleration of 4 m/s2

, one second after the car passes the signage. How long does it the 

police officer to overtake the truck?

Answer 1

The distance the blue car makes when the officer noticed its illegal behavior:

$$d=70t$$

The distance the officer who started chasing 1 s later makes:

$$d=\frac{a(t-1)^2}{2}=70t,$$

solve the equation:

$$x=37\text{ s}.$$