Question

A car traveling at a velocity of `24` `m``/``s` is accelerated uniformly at a rate of `2` `m``/``s^2` for `8` seconds. What is the final velocity of the car?

Answer 1

The final velocity of the car will be 40 m/s.

Explanation:

Based on the variables that are in your question, the following kinematic equation will be used to solve the question.

`v_f=v_i+at`, where `v_f` is the final velocity, `v_i` is the initial velocity, `a` is the acceleration, and `t` is the time.

Known Values
`v_i="24 m/s"`
`a="2 m/s"^2"`
`t="8 s"`

Unknown
`v_f`

Solution
Substitute the known values into the equation and solve.

`v_f=v_i+at`

`v_f=24 "m"/"s"+(2 "m"/cancel("s"^2)^"s"xx8cancel"s")`

`v_f=24 "m"/"s"+16 "m"/"s"=40 "m"/"s"`

`v_f="40 m/s"`