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A baseball, hit 5 ft above ground, leaves the bat at an angle of elevation of...

A baseball, hit 5 ft above ground, leaves the bat at an angle of elevation of 75 0.   It is caught by an outfielder 5 ft above the ground, and 500 ft from home plate. Find the initial speed of the ball.   (Answer correct to two decimal places.) Please use calculus & vector to find the answer

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