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In a pumpkin tossing contest in Morton, Illinois, a contestant won the catapult competition by using two telephone poles, huge rubber bands, and a power winch. Suppose a pumpkin was launched from a height of 30 feet at an angle of 45 degrees with the horizontal and an initial velocity of 125 feet per second. Given the following set of equations x = (Vo cos 9)t y = -16t2 + (vo sin 0)t + h where h is the initial height, vo is the initial speed, and 0 is the angle of inclination: a. Write the parametric equations that give the position of the pumpkin as a function of time. b. What is the maximum height reached by the pumpkin? c. How long was the pumpkin in flight