ProfOtter11015 please answer question 5-6

Si Whether the spring must have been compressed to its natural length ( find the compression 4x of the spring), so that when released it achieves the desired ejection velocity of the body (the ejection velocity at point A, which you calculated to question 3); Hint: Apply the Project-Energy Theorem. In calculating the total project take into account all the forces they produce work. When the body reaches point D it collides with a second, identical and initially stationary body, and an object is formed. 6) Calculate the velocity of the object and the change of the kinetic energy during the impact. The object, leaving the inclined plane at point B, performs a side shot. Consider as the beginning of the axes the point D. Select positive y - upward direction and positive x - direction to the right. Think of t = 0 as the time that the object leaves inclined plane. 7) Find the orbital equation y (x) and characterize its shape. 8) Calculate the maximum height from the ground. 9) Calculate the time of impact on the ground. 10) Calculate the position (x, y) of the point of impact on the ground and its distance r from point B. One second before hitting the ground, the object is at point D. 11) Determine the position (x, y) of point P. 12) Ignoring the resistance of the air, the only force exerted on the object is its weight. Calculate the weight of the object at point P