Question

an automobile is traveling 65km/h the brakes decelerate it at a rate of -6.0 m/s^2 how long will it take to stop the car?

Answer 1

Step-by-step explanation:

It is given that,

Initial speed of the automobile, u = 65 km/hr =

Final speed of the automobile, v = 0

Deceleration of the automobile,
`a=-6\ m/s^2`

We need to find the distance covered by the car as it comes to rest. It can be calculated using third equation of motion as :

`v^2-u^2=2ax`

`a=(v^2-u^2)/(2x)`

`a=(0-(18.05)^2)/(2* (-6))`

`a=27.15\ m/s^2`

So, the acceleration of the car is
`27.15\ m/s^2`. Hence, this is the required solution.