If an automobile with a velocity of 4.0 m/s accelerates at a rate of 4.0 m/s2 for 2.5 s, what is the final velocity?
llm
Answered on
Given:
Acceleration = 4.0m/s^2
Time = 2.5s
Initial velocity = 4.0 m/s
Find the Final Velocity.
Formula for Acceleration:
a = (vf - vi)/t
a = acceleration
vf = final velocity
vi = initial velocity
t = time
Solution:
We must first solve for the equation of the final velocity.
a = (vf - vi)/t
at = vf - vi
Transpose vi to the other side of the equation, hence it must be taken to note that in transposing a value, the sign changes.
vf = at + vi
Substitute the given values of a, t and vi to the given equation.
vf = (4.0 m/s^2) ( 2.5s) + 4.0m/s
vf = 10 m/s + 4.0 m/s
vf = 14 m/s
Final answer:
vf = 14 m/s