Meriam, Kraige & Bolton — Kinematics of Particles: Problem 2_74

2/74 An experimental fireworks shell is launched vertically from point A with an initial velocity of magnitude \( v_0 = 100 \text{ ft/sec} \). In addition to the acceleration due to gravity, an internal thrusting mechanism causes a constant acceleration component of \( 2g \) in the \( 60^\circ \) direction shown for the first 2 seconds of flight, after which the thruster ceases to function. Determine the maximum height \( h \) achieved, the total flight time, and the net horizontal displacement from point A. Plot the entire trajectory. Neglect any acceleration due to aerodynamics.