algebra

A toy rocket is launched into the air at an initial velocity of 32 ft/sec, as shown on the graph below. The function s(t)=-16t^2+32t+128 gives the height of the rocket (in feet) at time t (seconds). When does the rocket hit the ground? Show your work.

  1. 👍
  2. 👎
  3. 👁
  1. the ground is zero feet

    0 = -16t^2 + 32t + 128

    dividing by -16 ... 0 = t^2 - 2t - 8

    factoring ... 0 = (t - 4) (t + 2)

    0 = t - 4 ... t = 4

    1. 👍
    2. 👎
  2. ??????????????????????

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    A toy rocket that is shot in the air with an upward velocity of 48 feet per second can be modeled by the function f(t)=-16t^2+48t , where t is the time in seconds since the rocket was shot and f(t) is the rocket’s height. What

  2. Calc

    A rocket is launched with an initial velocity of zero, and with acceleration in feet per second per second defined by: --------( 20e^(-t/2), for 0 10 seconds. Show all work. Thanks a lot!

  3. algebra

    A rocket is launched from atop a 76-foot cliff with an initial velocity of 107 ft/s. The height of the rocket above the ground at time t is given by . A) When will the rocket hit the ground after it is launched? Round to the

  4. math

    A toy rocket is launched straight up into the air with an initial velocity of 60 ft/s from a table 3 ft above the ground. If acceleration due to gravity is –16 ft/s2, approximately how many seconds after the launch will the toy

  1. Basic Numeracy and statistics (math)

    A rocket is shot into the air with an initial velocity of 800m/sec. The equation h = -16t2+144t models the height of the ball. how long does it take for the rocket to hit the ground (h=0)?

  2. Calc

    A rocket is launched with an initial velocity of zero, and with acceleration in feet per second per second defined by: --------( 20e^(-t/2), for 0 10 seconds. Thanks!

  3. 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?

  4. 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

  1. AlgebraB-2

    1. What is the value of n so that the expression x² + 12x + n is a perfect square trinomial? (1 point)6 36 72 144 2. What are the solutions of the equation x2 + 4x = 96? (1 point) 2, –48 –12, 8 –2, 48 12, –8 3. What are

  2. 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

  3. algebra Please help

    .A toy rocket is shot vertically into the air from a launching pad 5 feel above the ground with an initial velocity of 72 feet per second. The height h, in feet, of the rocket above the ground as t seconds after launch is given by

  4. algebra

    If a rocket is launched with an initial velocity of 1600 feet per second when will the rocket be 14400 feet high?

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