An experimental fireworks shell is launched vertically from point A with an initial velocity of magnitude v0 = 140 ft/sec. In addition to the acceleration due to gravity, an internal thrusting mechanism causes a constant acceleration component of 3.0g in the direction shown for the first 3.0 seconds of flight, after which the thruster ceases to function. Determine the maximum height h achieved, the total flight time t, the net horizontal displacement x from point A, and plot the entire trajectory. Neglect any acceleration due to aerodynamics. angle is 51 dergrees instead of 60 degrees and 3.0g instead of 2g in the picture.