Answer:
The initial height of the stone is 43 meters.
Step-by-step explanation:
We have, the height followed by stone as a function of time t is given by :
[tex]h(t)= -16t^2+32t+43[/tex]
It is required to find the initial height of the stone. We know that initial height means height when t = 0. Putting t = 0 in above equation such that,
[tex]h(0)= -16(0)^2+32(0)+43\\\\h=0+0+43\\\\h=43\ m[/tex]
So, the initial height of the stone is 43 meters.