PLEASE EXPLAIN EACH ONE!

A baseball player hits a foul ball vertically off his bat. The ball goes straight up and then falls back down. Just before it hits the ground, the catcher catches the ball.

The height of the balltseconds after it is struck can be described by the function

s(t)= -16t^2 +64t +1

(a) At what speed does the ball leave the bat?

Speed leaving bat :ft/sec

(b) What is the velocity of the ball as it reaches its highest point?

Velocity of ball :______ft/sec

(c) How long does it take the ball to reach its highest point?

Time taken :______seconds

(d) How high is the ball at its highest point?

Height :______ feet

In the next few parts of the question, we will try to find how long the ball would take to hit the ground if the catcher didn't try to catch the ball.

What would be the value ofs(t) when the ball hit the ground?

Value ofs(t) :______feet.

Using the formula given fors(t), you can find the time at which the ball would hit the ground by settings(t) equal to zero and solving fort.

you get a quadratic equation fort. Find this equation and complete the following entries

At what time would the ball hit the ground? Give your answer correct to two decimal places.

Time :_______seconds