A 2 lb rocket is launched from the ground, with its launch rail elevated at an angle of 70° from ground, with zero initial speed. Assuming its motor provide a thrust force T = 25 lb for the period of 0 <_ t <_ 0.1s and T = 0 for t >_ 0.1 s, no air resistance, constant gravitational acceleration g = 32.2 ft/s2 , a kinetic friction coefficient µk = 0.2 between the rocket and launch rail and a particle model for the rocket, what is the trajectory, or x (horizontal displacement) and y (vertical displacement) vs. time history, of this rocket before it lands on a flat ground if the rail length is set at 3 ft. Use its position at t = 0 as the origin (x= 0 and y = 0)