Question

How much time would it take a car to go from a speed of 10m/s to 30m/s if it acceleratesat a rate of 4.0m/s/s?

Answer 1

Given,

The initial velocity of the car, u=10 m/s

The final velocity of the car, v=30 m/s

The acceleration of the car, a= 4.0 m/s²

From one of the equations of the motion, we have

`v=u+at`

Where t is the time duration.

On rearranging the above equation,

`t=(v-u)/(a)`

On substituting the known values,

`t=(30-10)/(4.0)=5\text{ s}`

Therefore the time that the car takes to accelerate is 5 s