A car is moving on a straight road with a speed of `20 m//s`. The drive of the car put the breaks at some instant which retards the car uniformly at a rate of `2 m//s^(2)`, until the car stops completely then find the time `(t_(0))` taken by the car and distance `(d)` travelled by car, from the instant the drive put the breaks till it stops:

Options

A. `t_(0) = 10` sec
B. `d = 50 m`
C. `t_(0) = 5` sec
D. `d = 100 m`

Answer

A, D

Explanation

`0^(2) = 20^(2) + 2(-2)`
`rArr d = 100 m`
`0 = 20 - 2t`
`t = 10 sec `.