Meriam, Kraige & Bolton — Kinetics of Systems of Particles: Problem 4_29

4/29 The experimental race car is propelled by a rocket motor and is designed to reach a maximum speed \( v = 300 \text{ mi/hr} \) under the thrust \( T \) of its motor. Prior wind-tunnel tests disclose that the wind resistance at this speed is \( 225 \text{ lb} \). If the rocket motor is burning fuel at the rate of \( 3.5 \text{ lb/sec} \), determine the velocity \( u \) of the exhaust gases relative to the car.