A bike, assimilated to a geometry point, moves an inclined plane making an angle a with the horizontal to jump from point A situated at Im from the ground (OA = Im), with a speed Vo = 87+6j. Determine as a function of Vo, a and g in the reference (xoy): 1.1. The parametric equation of motion. 1.2. The equation of the trajectory and specify its form 2) Prove that Vo=10m/s and a=37°. 3) Determine the maximum altitude. 4) Determine the maximum range. 5) The ceiling of a car is placed in the plan of jump of the bike at the point "C" with a distance 7m (OH=7m) from the launching point and altitude 1,5m from the ground (HC= 1.5m). Can he make the jump without touching the ceiling of the car and fall at risk? 6) Determine the magnitude and the direction of the speed at point "D" when the bike touches the ground? 7) Determine the angles of launching a and az where the range is 9m, knowing that Vo remains the same Ve 10m/s.