Tony hits a baseball at a height of 3 ft from the ground. The ball leaves his bat traveling with an initial speed of 120 ft/sec at an angle of 45° from the horizontal. Choose a coordinate system with the origin at ground level directly under the point where the ball is struck. Write parametric equations that model the path of the ball as a function of time t (in sec). When is the ball at its maximum height? Give the exact value and round to the nearest hundredth of a second.
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Tony hits a baseball at a height of 3 ft from the ground. The ball leaves his bat traveling with an initial speed of 120 ft/sec at an angle of 45° from the horizontal. Choose a
coordinate system with the origin at ground level directly under the point where the ball is struck.-
Write parametric equations that model the path of the ball as a function of time t (in sec).
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When is the ball at its maximum height? Give the exact value and round to the nearest hundredth of a second.
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What is the maximum height?
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If an outfielder catches the ball at a height of 6 ft, for how long was the ball in the air after being struck? Give the exact answer and the answer rounded to the nearest hundredth of a second.
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How far is the outfielder from home plate when he catches the ball? Round to the nearest foot.
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