The cheetah is one of the fastest accelerating animals, for it can go from rest to 29.4 m/s in 5.35 s. if its mass is 101 kg, determine the average power developed by the cheetah during the acceleration phase of its motion. express your answer in (a) watts and (b) horsepower.

8159 W, 10.9 hp

Explanation:

The work done by the cheetah is equal to the kinetic energy gained, so we can write:

where

m = 101 kg is the mass of the cheetah

u = 0 is the initial speed

v = 29.4 m/s is the final speed

Substituting,

Now we can calculate the power developed by the cheetah, given by:

where

t = 5.35 s

is the time taken. Substituting,

And keeping in mind that

1 hp = 746 W

We can also convert into horsepowers:

490 n

f=125n a=2.5m/s2