The cheetah is one of the fastest-accelerating animals, because it can go from rest to 3.4 m/s (about 8 mi/h) in 0.5 s. If its mass is 112 kg, determine the average power developed by the cheetah during the acceleration phase of its motion. Express your answer in watts and horsepower.
The Attempt at a Solution
v = u + at ...since the cheetah is initially at rest , u = 0 m/s therefore
v = at and we have a = (v/t)
Now power is defined as rate of doing work
P = ( Force x displacement ) / time
P = (ma x s) / t where s is the displacement s = vt
P = (m) * (v/t) (vt) divided by time t
finally doing all the algebra gives us
P = mv ^2/ t
P = (112 x 3.4^2) / 0.5
P = 2589.4
are my units wrong? but where?