An experimental fireworks shell is launched vertically from point A with an initial velo...

An experimental fireworks shell is launched vertically from point A with an initial velocity of magnitude v₀ = 100 ft/sec. In addition to the acceleration due to gravity, an internal thrusting mechanism causes a constant acceleration component of 2g in the 60^o 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, the net horizontal displacement from point A, and plot the entire trajectory. Neglect any acceleration due to aerodynamics.