A car accelerates from rest with 2 ~m / s ^2 on a straight line path and then comes to rest after applying brakes. Total distance travelled by the car is 100 ~m in 20 seconds. Then, the maximum velocity attained by the car is

Step-by-step solution

Given, Acceleration of car ( )=2 ~m / s ^2 Distance covered by car in 20 seconds (s)=100 ~m We know that, aligned s & = 1 2 + t^2 100 & = 1 2 2 (2+ ) 20 20 100 400 & = (2+ ) 1 4 & = 2+ 4 & =2+ 3 & =2 retardation = 2 3 ~m / s ^2 & Maximum velocity (v_ max )= t + aligned aligned & = 2 2 3 20 2+ 2 3 = 80 3 8 3 = 80 3 3 8 & =10 ~m / s aligned