Creating a function by expressing distance above the ground

Quote:

Originally Posted by fw_mathis

Thy Highness, it's me again.

The word problem reads: Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t.
Please help!:( Thanks

The general formula (on Earth) is:
$h(t)=-16t^2+v_0t+h_0$
Where,
$v_0$ is intial velocity, in this case, 32 feet/second.
$h_0$ is initial height, in this case 0 feet because it is from ground level.

Thus,
$h(t)=-16t^2+32t$