Question

If an object is projected upward into the air from ground level, then the height h(t) of the object

in feet at time t in seconds is given by:
h(t) = -16t^2+ 344t
How long does it take for the object to hit the ground? SHOW ALL WORK clearly and neatly - do not skip
steps. The show all work part cannot be stressed enough.

Answer 1

21.5secs

Explanation:

Given the function that models the height of an object as

h(t) = -16t^2+ 344t

The object hit the ground at h(t) = 0

Substitute

0 = -16t^2+ 344t

16t^2 = 344t

16t = 344

t = 344/16

t = 21.5

Hence it takes 21.5secs for the object to hit the ground