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A baseball pitcher throws a baseball with an initial speed of 91 feet per second at...

A baseball pitcher throws a baseball with an initial speed of 91 feet per second at an angle of 5 degree to the horizontal. The ball leaves the pitcher's hand at a height of 15 feet. Write the parametric equations that describe the motion of the ball as a function of time.

a) Write a set of parametric equations that model the baseball.

b) What is the max height of the ball?

c) When does the ball hit the ground?

d) How far away from the pitcher does the ball hit the ground?

e) Will the batter hit the ball if the batter is 60 feet away and swings the bat at a height of 3 feet? Why or why not?

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