Question

A ball is thrown vertically upward with an initial velocity of 5 ft/sec from a height of 20 feet. Which function models its motion?

Answer 1

For this, use the following vertical motion formula:
h = -16t² + vt + s where:
h = the height of the object at any given point in time
t = time the object is in motion (in seconds)
s = the initial height from which the ball was dropped or launched
v = the initial velocity

Our given information: s = 20 ft and v = 5 ft/sec

So our function would be : h(t) = -16t² + 5t + 20