Question

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Answer 1

Average velocity is halfway between the final velocity and initial velocity when acceleration is constant. Mathematically, this means the mean of initial and final velocity yields average velocity.

Let Va = Average velocity
Vi = Initial velocity
Vf = Final velocity

The formula for the average of two numbers is:
Va = 0.5 (Vi + Vf)
2Va = Vi + Vf
Vi = 2Va - Vf = 2*37mph - 65mph = 9mph

Therefore, the initial velocity is 9 miles per hour.