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Pro'ectile Motion} 2. (30 pts total} A gun res a projectile with an initial velocity v.3. = 500.0 mfs at a known angle 3,, = 25.00\" with respect to the horizontal, as shown in Figure 1. Make the usual assumptions for projectile motion and let 3 = 9.8 n1:,l's2 exactly when solving this problem. '\\ 3a l x "' ground level 1dIr Figure 1. Diagram for Problem 2. a. {10 pts} Determine the time t in units of seconds forthe projectile to reach maximum height. Solve the problem algebraically first before substituting values for variables. b. (10 pts} Using your answer from 2: above, determine the maximum height H reached by the projectile in units of meters. Solve the problem algebraically first before substituting values for variables. is. (10 pts} Using your answer from 2: above, determine the horizontal distance d of the projectile when it reaches maximum height. Distance of is measured downrange from the initial launch position of the projectile. Express your answer in units of meters. Solve the problem algebraically first before substituting values for variables