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"?

Aug 31, 2016

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 ${v}_{f} = {v}_{i} + a t$.

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

Known
$a = \text{150 m/s"^2}$
$t = \text{2 s}$
${v}_{i} = \text{75 m/s}$

Unknown
${v}_{f}$

Plug the known values into the equation and solve.

${v}_{f} = \text{75 m/s"+"150 m/s"^cancel2*} 2 \cancel{s}$

${v}_{f} = \text{75 m/s"+"300 m/s}$

${v}_{f} = \text{375 m/s}$