4. A football is thrown in the air from an initial height of 4 feet with an upward velocity of
46ft/sec. The function
h (t) = -16t^2 +46 t + 4 gives the height after t seconds.
-btvb2 - 4ac
2a
a. How much time does it take to reach its maximum height?
b. Find the maximum height?
c. How long does it stay in the air before it hits the ground?
d. Draw a picture and label the starting point, the vertex and the time that it hits the ground.