High School

The cheetah is one of the fastest accelerating animals, as it can go from rest to 34.5 m/s in 3.57 seconds. 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:

(a) watts

(b) horsepower

Answer :

Answer: a) 18670 W b) 25 hp

Explanation:

a)

Average power,

P = W/t

W= 0.5 MVf^2 - 0.5 MVo^2

Therefore P =( (0.5 x 112 x 34.5^2 ) - (0.5 x 112 x 0 ) ) / 3.57

P = 1.87 x 10^4 W

b)

Power in units of horsepower is

P = 1.87 x 10^4 / 745.7 = 25hp

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