A trolley travels in a straight line with a constant speed of 2ms−1. A horizontal force along the direction of motion varies with time according to F(t)=10t2N, where t is in seconds. The force acts from t=0 to t=3s.
a. (i) Compute the work done by the force during this interval.
b. (ii) Find the average power developed by the force over the same interval.