Physics

Problem

A particle moves such that its velocity

v

versus time

t

graph is a semi-circle given by the equation

v = \sqrt{25 - t^{2}}

for

t \in [0, 5]

, where

v

is in

\text{m/s}

and

t

is in seconds. Find the average acceleration of the particle over the interval

t = 0

t = 5\,\text{s}