During a baseball game, a ball leaves a bat and travels straight up into the air. A TV camera records that when the ball reaches its highest point, it had traveled 18.5 m from where it left the bat.

a) Consider the part of the ball's motion when it falls from its highest point back down toward the batter. Determine the time it takes the ball to travel this distance. Show all work

b) Ignoring air resistance, when things travel through the air, their motion is symmetrical - the second half of motion mirrors the first half of motion. Use this idea to determine the time for the ball to travel from its release point on the bat to its highest point. Show all work

c) Use your answer to b. to determine the magnitude and direction of the initial velocity of the ball immediately after it leaves the bat. Show all work