Question

What is the final velocity of a body that accelerates at `"150 m/s"^2"` for `"2 s"` from a velocity of `"75 m/s"`?

Answer 1

The velocity after two seconds will be 375 m/s.

Explanation:

From your question, we can identify three variables: acceleration, `a`; time, `t`; and initial velocity, `v_i`. The final velocity, `v_f`, is what you want to determine.

The equation to use is `v_f=v_i+at`.

We need to identify what we know and what we don't know.

Known
`a="150 m/s"^2"`
`t="2 s"`
`v_i="75 m/s"`

Unknown
`v_f`

Plug the known values into the equation and solve.

`v_f="75 m/s"+"150 m/s"^cancel2*"2 cancels`

`v_f="75 m/s"+"300 m/s"`

`v_f="375 m/s"`