Question

A pitcher fires a 92.5 mph fastball right over home plate. The batter makes firm contact with a wooden bat with density .6725 g/cm^3 and drives the baseball high into left field. The ball leaves the bat a height 3ft 6.25in above home plate at an angle of 62.125degrees above horizontal and with a speed of 87.15mph. In this particular direction, the outfield fence is 417ft from home plate and exactly 8ft in height.

a. What is the maximum height of the ball, in feet?

b. How far from home plate would the ball land, in yards, assuming it clears the fence?

c. How long is the ball in question (b) in the air, in seconds?

d. Does the ball actually clear the fence (give a definite yes or no answer with justification)?

Answer 1