Question

A car initially at rest travels with a uniform acceleration of 8 m / s^2 . Calculate the distance covered by the car in 3 s .

Answer 1

We know that

• The initial velocity is zero because it starts from rest.

,

• The acceleration is 8 m/s^2.

,

• The time elapsed is 3 seconds.

Use a formula that relates initial velocity, acceleration, time, and distance.

`d=v_0t+(1)/(2)at^2`

Use the given magnitudes to find d.

`\begin{gathered} d=0\cdot3\sec +(1)/(2)\cdot(8\cdot(m)/(s^2))(3\sec )^2 \\ d=4\cdot(m)/(s^2)\cdot9s^2 \\ d=36m \end{gathered}`

Therefore, the distance covered is 36 meters.