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Problem 1: Consider a projectile launched with an initial velocity of 120 f/s. Let us assume that the projectile lands on a a) Determine the range R as a function of time. b) Determine the initial launch angle, 8, such that the projectile achieves the maximum possible horizontal range Hint: think about how to compute maxima and minima from calculus. Once you have computed the launch angle from part (a), determine the value of the maximum range and the time of flight of the projectile (time taken to go from launching to landing spot). Determine the velocity at the peak of the trajectory of the projectile. c) d) f) Determine the peak height reached by the projectile. RmaxTHE VERTICAL DISPLACEMENT IS NOT ZERO BECAUSE THE PROJECTILE LANDS ON HEIGHT H

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