SOLUTION: You are trying to dunk a basketball. You need to jump 2.5 ft. in the air to dunk the ball. The height that your feet are above the ground is given by the function h(t)= -16t + 12t

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: You are trying to dunk a basketball. You need to jump 2.5 ft. in the air to dunk the ball. The height that your feet are above the ground is given by the function h(t)= -16t + 12t      Log On


   

Question 678595: You are trying to dunk a basketball. You need to jump 2.5 ft. in the air to dunk the ball. The height
that your feet are above the ground is given by the function h(t)= -16t + 12t. What is the maximum
height your feet will be above the ground? Will you be able to dunk the basketball?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
You are trying to dunk a basketball. You need to jump 2.5 ft. in the air to dunk the ball. The height that your feet are above the ground is given by the function h(t)= -16t^2 + 12t.
.
What is the maximum height your feet will be above the ground?
max height is at the vertex.
t (at vertex) = -b/(2a)
t (at vertex) = -12/(2(-16))
t (at vertex) = -12/(-32)
t (at vertex) = 0.375 secs
.
height at 0.375 secs:
h(t)= -16t^2 + 12t
h(0.375)= -16(0.375)^2 + 12(0.375)
h(0.375)= 2.25 feet (max height)
.
Will you be able to dunk the basketball?
NO, because it requires 2.5 feet of height and he only can jump 2.25