Answer: h(t) = 20 + 32t - 16t²
Explanation:
The function that models the motion of an object thrown in the air (vertically) is:
h(t) = H + Vo × t - (1/2) g×t²
Where:
H is the initial height = 20 feet
Vo is the inital velocity = 32 ft/s (positive if it is upward)
g is gravity acceleration ≈ 32 ft/s²
t is the time
Substitute values:
h(t) = 20 + 32t - 32t² / 2
h(t) = 20 + 32t - 16t²
That is the answer.
