Question

A police constable is chasing a thief,who is intially 10m ahead of the constable.The uniform speeds of the constable and the thief are10m/s and 8m/s respectively. from the plot of 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.​

Answer 1

Answer:

Initial distance between thief and constable-10m. so, the constable has to cover 10m more to catch the thef.The constable catches the thif in 5 seconds after covering 50 meter.

Answer 2

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.