Question

A low-flying cropduster A is moving with a constant speed of 40 m/s in the horizontal circle of radius 300 m. As it passes the twelve-o'clock position shown at time t = 0 car B starts from rest from the position shown and accelerates along the straight road at the constant rate of 3m / (s ^ 2) until it reaches a speed of 30m / s after which it maintains that constant speed. Determine the velocity and acceleration of A with respect to B and plot the magnitudes of both these quantities over the time period 0 <= t <= 50 s as functions of both time and displacement s_{B} of the car. Determine the maximum and minimum values of both quantities and state the values of the time t and the displacement S_{R} at which they occur.