Answer
a) $10^4W$
b) $13.4hp$
Work Step by Step
a) According to the work-energy theorem, the work done by the cheetah during the acceleration is $$W=\frac{1}{2}m(v_f^2-v_0^2)=\frac{1}{2}\times110(27^2-0^2)$$ $$W=4.01\times10^4J$$
The average power developed by the cheetah is $$\overline P=\frac{W}{t}=\frac{4.01\times10^4J}{4s}=10^4W$$
b) 1 horsepower (hp) equals 745.7W, so $$\overline P=\frac{10^4}{745.7}=13.4 hp$$
