A police constable is chasing a thief who is initially 10m ahead of the constable The uniform speeds of the - Physics - Motion In A Straight Line

Question

A police constable is chasing a thief who is initially 10m ahead
of the constable The uniform speeds of the constable and the thief
are 10m/s and 8 m/s respectively From the plot of the position time
graph for the constable and the thief ,find the time the constable
will take to catch the thief and the distance the constable has to
run

Somnath physics · Accepted Answer

Speed of constable, u = 10
m/s

Speed of thief, v = 8 m/s

Initial distance between thief and
constable = 10 m

So, the constable has to cover 10 m
more to catch the thief

Hence, ut = vt + 10

=> 10t = 8t + 10

=> t = 5 s

In this time, the distance
travelled by the constable is = (10)(5) = 50 m

The constable catches the thief in 5 seconds after covering 50
meter