math

posted by please help

A ball is thrown into the air with an upword velocity of 36 ft/s. Its hight H in feet after t seconds is given by the function h=-16t^2+36t+9. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the balls maximum height

  1. Reiny

    You want the vertex of this parabola.
    the x of the vertex is -b/2a
    = -36/-32 = 1.125 seconds

    plug that in
    h = - 16(1.125)^2 + 36(1.125) + 9 = ....

Respond to this Question

First Name

Your Answer

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 time …
  2. 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 time …
  3. math

    A ball is thrown into the air with an upward velocity of 20 ft/s. Its height (h) in feet after t seconds is given by the function h(t) = –16t^2 + 20t + 2. How long does it take the ball to reach its maximum height?
  4. Algebra 1

    a ball is thrown into the air with an upward velocity of 32 ft per second. Its height h in feet after t seconds is given by the function h(t)=-16t^2 +32t+6. How long does it take the ball to reach its maximum height?
  5. Math

    If you are standing near the edge of the top of a 200 feet building and throw a ball vertically upward it will be modeled by the function s(t)=-16t^2+64t+200 where s(t) is the ball's height above ground in feet and t is seconds after …
  6. Math

    Please help ! 1.)a catapult launches a boulder with an upward velocity of 122 feet per second. the height of the boulder, h, in feet after t seconds is givin by the function h(t)=-16t^2+122t+10. what is the boulders maximum height …
  7. math

    A baseball is thrown into the air with an upward velocity of 25 ft./s. It's height in feet after T seconds can be modeled by the function h(t)=-16t^2 +25t+5. how long will it take the ball to reach it's maximum height?
  8. 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?
  9. Algebra 1

    A baseball is thrown into the air with an upward velocity of 30 ft/s. Its height h, in feet, after t seconds is given by the function h=-16t^2+6. How long will it take the ball to reach its maximum height?
  10. math

    A ball is thrown into the air with an upward velocity of 40 ft/s. Its height h in feet after t seconds is given by the function h = -16h 2 + 40t + 6. A. In how many seconds does the ball reach its maximum height?

More Similar Questions