College Algebra

A projectile is thrown upward so that it's distance (in feet) above ground after t seconds is given by h(t)=-10t^2+440t. What is its maximum height?

  1. 👍
  2. 👎
  3. 👁
  1. This is modelled by a downwards opening parabola.
    h(t) = -10t^2 + 440t
    = -10t(t - 44)

    so the x-intercepts are 0 and 44, which means that the vertex lies half way between them
    i.e. x = 22
    find h(22)

    This worked nicely since there was no constant.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    THe function h(t)=-16t^2+v0t+h0 describes the height in feet above the ground h(t) of an object thrown vertically from a height of h0 feet, with an initial velocity of v0 feet per second, if there is no air friction and t is the

  2. Math-

    A ball is thrown vertically upward with an initial velocity of 96 feet per second. The distance s (in feet) of the ball from the ground after t seconds is s(t)=96t-16t^2 a.) at what time will the ball strike the ground b.) for

  3. algebra

    A ball is thrown into the air with an upward velocity of 40 feet per second. Its height, h, in feet after t seconds is given by the function h(t)=-16t^2+40t+10. a. What is the ball’s maximum height? 35Ft b. When the ball hits

  4. pre-calc

    Physics: a ball is thrown vertically upward with an initial velocity of 80 feet per second. the distance (in feet) of the ball from the ground after t seconds if s=80t-16tt^2 a) draw the illustration b) for what time interval is

  1. algebra 2

    A ball is thrown directly upward from an initial height of 200 feet with an initial velocity of 96 feet per second. After t seconds, the height of the ball above the ground is s(t) = 16t2+ 96t + 200. a. After how many seconds

  2. MAT 150

    A projectile was launched from ground level with an initial velocity of the v0 neglecting air resistance is high in feet two seconds after launch is given by S= -16T^2 + v0t find the times that the projectile will reach a high of

  3. Algebra

    The equation h= -16t^2 + 32t + 9 gives the height of a ball, h, in feet above the ground,at t seconds after the ball is thrown upward.How many seconds after the ball is thrown will it reach its maximum height? What is its maximum

  4. algebra word problem

    A projectile is launched upward from a height of 960 feet with an initial velocity of 64 ft/s. The equation gives the height h after t seconds. Find the number of seconds until it returns to the ground.

  1. Math

    A rock is thrown upward from a bridge that is 88 feet above a road. The rock reaches its maximum height above the road 0.67 seconds after it is thrown and contacts the road 3.18 seconds after it was thrown. Define a quadratic

  2. math

    A projectile is launched vertically upward from the top of a 240-foot building. This translates to the model y = -16t^2 + 32t + 240 where y is the height in feet and t is the time in seconds after it was launched, When will the

  3. math

    A ball is thrown from the edge of a cliff with an initial velocity of 60·m/s upward. Answer the following questions using + (upward) and - (downward) to indicate the direction of the velocity. Ignore air resistance and assume the

  4. Math

    An object is propelled vertically upward from the top of a 144-foot building. The quadratic function s(t)= -16t2+192+144 models the ball's height above the ground, in feet, s(t) seconds after it was thrown. How many seconds does

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