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A batter hits a baseball 3 ft above the ground toward the center field fence, which is 10 ft high and 400 ft from home plate. The ball leaves the bat with a speed 115 ft/s at angle 50^{o} above the horizontal.
(a) Denote the ball trajectory, r(t) = hx(t), y(t)i, wth respect to time, t. Assuming that t = 0 corresponds to the instant when the ball leaves the bat, what are x(t) and y(t)?
(b) Is it a home run? (Does the ball clear the fence?)
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