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"#?

1 Answer
Aug 31, 2016

Answer:

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"#