MATH SOLVE

4 months ago

Q:
# You are trying to dunk a basketball. You need to jump 2.5 feet. In the air to dunk the ball. The height that your feet are above the ground is given by the function h (t)=-16ft+12. What is the maximum height your feet will be above the ground? Will you be able to dunk the basketball

Accepted Solution

A:

Answer:
1)he maximum height your feet will be above the ground is 122)Will you be able to dunk the ball= yesStep-by-step explanation:
Given:
In order to dunk the basket ball, height needed to jump= 2.5 feet
The height that your feet need to be of the ground is given by the function h(t)= -16t^2+121) the maximum height your feet will be above the ground=?
Given function of height,h(x)=-16t^2+12
finding maximum of the above function
The maximum of any function written in form of ax^2+bx+c is given by
max= c - (b2 / 4a)
Putting values c=12, b=0 and a=16, we get
max= 12-(0^2/4(-16))
= 12
-0 =12 feet
he maximum height your feet will be above the ground is 12 feet.
2) Will you be able to dunk the ball=?
As the maximum height the feet will be above the ground is 12 feet which is greater than the height needed to jump in the air to dunk the ball 2.5 feet i.e.
12>2.25
hence yes you will not be able to dunk the ball !