We are going to analyze projectile motion at multiple points in its trajectory. Problem: A projectile is thrown from an initial height h with velocity Lt] at an angle 3. Some hints: Don't forget to separate everything into it and y components. If your initial condition isn't at t = 0, use AI = trim! timid in the kinematic equations! E:- Figure 1: Projectile launched from height h above the ground with velocity v0 at an angle l9. (1) Point B represents the highest point in the projectile's trajectory, ym. Denote the time it takes the projectile to reach this maximum height by t3. During this motion, the projectile travels a horizontal distance, x3. Find expressions for these quantities (ym, raga) using only the given quantities (51,111, 9). (1]) Point C is where the projectile returns to its initial height h. Denote the time it takes the projectile to reach height h from the initial throw by it. During this motion, the projectile travels a horizontal distance, xc. Find expressions for these quantities (ta, xc) using only the g'ven quantities (h, m, l5). Find the magnitude and direction of the velocity vc, 9C of the projectile at this point. What initial condition will you choose? (111) Point D is where the projectile hits the ground. Denote the total time of ight by rm. Denote the total horizontal distance traveled by the projectile as xm. Find expressions for these quanties (rm, ,xm) using only the given quantities (1,190, [9). What is the nal velocity (magnitude PD and angle 91) from the horizontal) of the projectile when it hits the ground? What initial condition will you choose? What happens when you set it = U i.e. projectile was launched from the ground