physics
posted by Jason on .
A cheetah is hunting. Its prey runs for 3.21 s at a constant velocity of +8.36 m/s. Starting from rest, what constant acceleration must the cheetah maintain in order to run the same distance as its prey runs in the same time?

The cheetah must have the same average velocity during the interval. Since it accelerates uniformly from zero, its maximum velocity must be twice the average, or 16.72 m/s. The acceleration rate is
(16.72 m/s)/(3.21 s) = ___ m/s^2