A car is moving with speed of 150 km h - 1 and after applying the brake it will move 27 m before it stops. If the same car is moving with a speed of one third the reported speed then it will stop after travelling _____ m distance.

Step-by-step solution

In both cases, the final velocity is zero. Using equation of motion for constant acceleration v 2 = u 2 + 2 a s ⇒ 0 2 - u 2 = - 2 a 27         ... 1 ⇒ 0 2 - u 3 2 = - 2 a s '           . . . 2 From 1 and 2 , 2 a 27 = 9 2 a s ' ⇒ s ' = 3   m