Question

Starting from rest, a car accelerates for 8 seconds with a constant acceleration. During this time it travels 121 meters. Find its velocity at the end of the 8 seconds.

Answer 1

The final velocity is
`V = 30.25 (m)/(s)`

Explanation:

The car starts from rest, this means the initial velocity U = 0.

The time interval is 8 seconds.

The total Distance traveled is 121 meters.

The formula for calculating final velocity(V) is,

`(distance) = U(time) + ((1)/(2))(acceleration)((time)^(2))`

`121 = (0)(8) + ((1)/(2))(a)(64)`

a=
`(121)/(32)`

The final velocity is given by,

`V = (0) + (a)(time)`

`V = ((121)/(32))(8) = 30.25 (m)/(s)`