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A baseball is hit by the batter when the ball is 2.5 feet above the ground....

A baseball is hit by the batter when the ball is 2.5 feet above the ground. The ball leaves the bat with a velocity of 85 miles per hour at an angle of 50° above the horizontal.

a. What is the maximum height of the baseball?

b. When does the baseball reached its maximum height?

c. If the ball does not hit anything, how many seconds is the ball in the air?

d. If the ball does not hit anything, how far away from the batter is the ball when it hits the ground?

e. If there is a fence that is 15 feet high a distance of 350 feet from the batter, does the ball go over the fence?

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