A low-flying crop duster 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 3 m/s² until it reaches a speed of 30 m/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_B at which they occur.

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300 m y L--x 350 m B 1000 m SB Problem 2/254