A car accelerates uniformly from rest to speed 6.6 m/s in 6.5 s .Find the distance the car travel during this time .

The distance the car traveled is 21.45 m

Explanation:

Motion With Constant Acceleration

It occurs when an object changes its velocity at the same rate thus the acceleration is constant.

The relation between the initial and final speeds is:

Where:

a   = acceleration

vo = initial speed

vf  = final speed

t    = time

The distance traveled by the object is given by:

Solving [1] for a:

Substituting the given data vo=0, vf=6.6 m/s, t=6.5 s:

The distance is now calculated with [2]:

x = 21.45 m

The distance the car traveled is 21.45 m