algebra 2

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.)

  1. 👍
  2. 👎
  3. 👁
  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.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra 2 h

    A model rocket is launched from the top of a building. The height (in meters) of the rocket above the ground is given by h( t) = -16t²+ 96t + 14, where t is the time (in seconds) since the rocket was launched. What is the

  2. math

    Please explain to work this: A rocket is launched from atop a 105-foot cliff with an initial velocity of 156ft/s. the height of the rocket above the ground at time t is given by h= -16t^2 + 156t + 105. When will the rocket hit the

  3. Physics

    A test rocket is launched vertically from ground level (y=0m), at time t=0.0 s. The rocket engine provides constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket has risen to 97 m and

  4. math

    A model rocket is launched from the deck in Jim's backyard and the path followed by the rocket can be modeled by the relation h=-5t^2 +100t +15, where h, in metres, is the height that the model rocket reaches after t seconds. What

  1. Math

    A model rocket is launched with an initial velocity of 164ft/sec. It's height h, in feet, after t seconds is given by the formula h=164t-16t^2. After how many seconds will the rocket first reach a height of 400ft?

  2. algebra

    A model rocket is launched upward with an initial velocity of 200 feet per second. The height, in feet, of the rocket t seconds after the launch is given by h = −16t2 + 200t. How many seconds after the launch will the rocket be

  3. math

    a model rocket is projected straight upward from the ground level. It is fired with an initial velocity of 192 ft/s. How high is the rocket after 10 seconds? When is the rocket at a height of 432 feet? What is the maximum height

  4. math

    A model rocket is launched with an initial velocity of 160 ft/s. The height, h, in feet, of the rocket t seconds after the launch is given by h = −16t2 + 160t. How many seconds after launch will the rocket be 350 ft above the

  1. physics

    a 4 kg model rocket is launched, shooting 50 kg of burned fuel from its exhaust at an average velocity of 625 m/s. What is the velocity of the rocket after the fuel has burned.? Ignore effects of gravity and air resistance.

  2. Math

    A model rocket is launched straight upward with initial velocity of 22 m/s. The height of the rocket, h, in metres, can be modelled by h(t) = -5t^2 + 22t, where t is elapsed time in seconds. What is the maximum height the rocket

  3. physics

    A model rocket is launched straight upward with an initial speed of 51.3 m/s. It accelerates with a constant upward acceleration of 1.82 m/s2 until its engines stop at an altitude of 150 m. What is the maximum height reached by

  4. Physics

    A model rocket is launched straight upward with an initial speed of 57.0 m/s. It accelerates with a constant upward acceleration of 1.50 m/s2 until its engines stop at an altitude of 190 m. (a) What is the maximum height reached

You can view more similar questions or ask a new question.