Final answer:
The question regarding the average power of a cheetah accelerating cannot be answered without the mass of the cheetah. Average power is calculated based on the work done over time, and work done in this context is the kinetic energy which requires the mass and the velocity of the cheetah.
Step-by-step explanation:
The student asks about the average power expended by a cheetah that accelerates from 0 to 96 km/h in 3.0 seconds. To calculate the average power, we first need to convert the speed from km/h to m/s. This is done by multiplying the speed in km/h by (1000 m/1 km) / (3600 s/1 h), which equals 26.67 m/s.
The formula for power is P = W/t, where W is work done and t is time. Work done, in this case, is equal to the kinetic energy the cheetah gains, which is W = (1/2)mv² where m is mass and v is velocity. As the question doesn't provide the mass of the cheetah, we cannot compute the kinetic energy or average power directly. Therefore, without the mass of the cheetah, the question cannot be answered with the information provided.