Step-by-step explanation:
The height that your feet are above the ground is given by the function :
[tex]h(t) = -16t^2 +12t[/tex] ...(1)
We need to find the maximum height your feet will be above the ground.
For maximum height, put dh(t)/dt = 0
[tex]\dfrac{dh}{dt}=0\\\\\dfrac{d( -16t^2 +12t)}{dt}=0\\\\-32t+12=0\\\\t=0.375\ s[/tex]
Now put t = 0.375 s in equation (1) as follows :
[tex]h(t)=-16\left(0.375\right)^{2}+12\left(0.375\right)\\\\=2.25\ ft[/tex]
So, the feet will be 2.25 feet above the ground. Yes, you will be able to dunk the basketball.
