Answer:
1)he maximum height your feet will be above the ground is 2.25
2)Will you be able to dunk the ball= No
Step-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+12t
1) the maximum height your feet will be above the ground=?
Given function of height,h(x)=-16t^2+12t
finding maximun 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=0, b=12 and a=16, we get
max= 0-(12^2/4(-16))
= 144/64
=2.25 feet
he maximum height your feet will be above the ground is 2.25 feet.
2) Will you be able to dunk the ball=?
As the height needed to jump in the air to dunk the ball is 2.5 feet which is greater than the maximum height the feet will be above the ground i.e.
2.5>2.25
hence No you will not be able to dunk the ball !
