Problem 35P

Based on unit considerations alone, show that the power needed to accelerate a car of mass m (in kg) from rest to velocity V (in m/s) in time interval t (in s) is proportional to mass and the square of the velocity of the car and inversely proportional to the time interval.

Step 1:

Mass of the car = m (in kg)

Initial velocity = 0 (in m/s)

Final velocity = v (in m/s)

Time interval = t (in s)