​ Feng throws a baseball directly up in the air with an initial velocity of $16$ feet per second from a height of $4$ feet.

1. When will the ball hit the ground?

   Hint (a):

   acceleration due to $\text{gravity }= −32 \text{ ft}/\text{sec}^2$

2. What is the ball’s maximum height?

   Hint (b):

   Optimize.Or use algebra to locate the vertex of the parabolic position function.

3. What is the ball’s velocity when it hits the ground?

   Hint (c):

   First figure out WHEN the ball hits the ground.

4. What is the total distance the ball travels from $t = 0$ seconds to $t = 0.75$ seconds?

   Hint (d):

   Do not confuse total distance with displacement.