A soccer ball is resting on the ground. Kendra kicks the ball. Its initial vertical velocity is 30 feet per second.
a. Write an equation that models the height h of the ball t seconds after Kendra kicks it.
b. Suppose the ball hits the ground without being caught. Use a graphing calculator to determine the approximate number of seconds the ball was in the air. Justify your answer.
c. Suppose the ball reaches its highest point, then starts to fall back to the ground. Before it hits the ground, it bounces off the head of another player at a point that is 5 feet from the ground. Use a graphing calculator to determine the approximate number of seconds the ball was in the air before it bounced off the player's head. Justify your answer.