Question

A model rocket is launched with an initial upward velocity of
164
/
ft
s

. The rocket's height
h

(in feet) after
t

seconds is given by the following.
=
h
−
164
t
16
t
2

Find all values of
t

for which the rocket's height is
92

feet.

Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)

Answer 1

First let me fix your post:

A model rocket is launched with an initial upward velocity of
164 ft/s. The rocket's height h (in feet) after t seconds is given by the following.
h = −16t^2 + 164t
Find all values of t for which the rocket's height is 92 feet.

so you want:
92 = -16t^2 + 164t
16t^2 - 164t + 92 = 0
4t^2 - 41t + 23 = 0
Use the quadratic equation to solve.