Meriam, Kraige & Bolton — Kinematics of Particles: Problem 2_213

2/213 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 \( 3 \text{ m/s}^2 \) until it reaches a speed of \( 30 \text{ m/s} \), 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 \( 0 \le t \le 50 \text{ s} \) 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.