Intermediate Algebra

posted by .

A model rocket is launched from a height of 50 feet. the formula: h=-16t^2+70t+50 describes the rocket's height,h,in feet t seconds after it was launched. how long will it take the rocket to reach the ground.

  • Intermediate Algebra -

    when it hits the ground, h = 0
    -16t^2 + 70t + 50 = 0
    8t^2 - 35t - 25 = 0
    (t-5)(8t + 5) = 0
    t = 5 or t = -5/8, but t can't be negative

    so it will hit the ground in 5 seconds.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    A rocket is launched upward and then falls to the ground. The height of the rocket above the ground is h= -16t^2 - 400t where h is the height of the rocket in feet and t is the number of seconds of the flight. How many seconds will …
  2. Math/calculus

    a toy rocket is shot into the air at the top of a building so that its height above the ground t seconds after the rocket is launched is given by the formula h(t)= -3t cubed + 6t squared + 27t feet from liftoff until the rocket crashes …
  3. Math

    A model rocket is launched with an initial velocity of 212ft/sec. It's height h, in feet, after t seconds is given by the formula h=212t-16t^2. After how many seconds will the rocket first reach a height of 592ft?
  4. Algebra: Quadratic Functions

    A model rocket is launched with an initial velocity of 128 ft/s from a height of 70 ft. The height of the rocket, in feet, t seconds after it has been launched is given by the function s(t)=−16t^2+128t+70. Determine the time …
  5. Math

    Two kids are building a rocket for science class. once the rocket is launched its height in feet, h(t) can be found using the function h(t)=-16t^2+128t where t represents time in seconds. They record the time from the moment the rocket …
  6. 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?
  7. intermediate algebra

    A model rocket Is launched from a height of 50ft. The formula h=-16t^2+70t +50 describes the rocket's height,h,in feet seconds after it was launched. How long will it take the rocket to reach to reachthe ground?
  8. Algebra: Quadratic Functions

    if a rocket is launched straight up into the air with an initial velocity of 112 feet per second, it's height after t seconds is given by the formula h = 112t - 16t, where x represents the height of the rocket in feet: A. When will …
  9. algebra

    h=-16t^2+48t describes the rocket's height,h, in feet, from the ground, t seconds after it was launched. A. What is the height of the rocket after 2 seconds. B. After how long will it take the rocket to return to the ground.
  10. Math

    A rocket is launched from the top of a 50 foot cliff with an initial velocity of 120 feet per second. The height, h, of the rocket after t seconds is given by the equation h=-16t^2 + 120t+ 50. How long after the rocket is launched …

More Similar Questions