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 gravity $= −32$ ft/sec$^2$

2. What is the ball's maximum height?

   Hint (b):

   Optimize. Or use Algebra to find the vertex of the parabolic position function.

3. What is the ball's velocity when it hit the ground?

   Hint (c):

   First figure out WHEN it hits the ground.

4. What is the total distance the ball traveled from $t = 0$ sec to $t = 0.75$ sec.

   Hint (d):

   Do not confuse total distance with displacement.