Algebra

posted by .

The height of a ball thrown directly up with a velocity of 40 feet per second from a initial height of of 5 feet is given by the equation h(t)=-16t^2+40t+5, where t is the time in seconds and h is the ball’s height, measured in feet. When will the ball hit the ground? Round your answer to the nearest tenth.

  • Algebra -

    When it hits the ground , h(t) = 0 , so

    -16t^2 + 40t + 5 = 0
    16t^2 - 50t - 5 = 0

    Now solve this quadratic using the method that you learned.
    One of the answers will be negative, you would reject that one.

  • Algebra -

    12

  • Algebra -

    2.5

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. ap calculus

    The height s of a ball, in feet, thrown with an initial velocity of 112 feet per second from an initial height of 6 feet is given as a function of time t (in seconds) by s(t)=-16t^2+112t+20. 1. What is the maximum height of the ball?
  2. Pre-Calc

    The height s of a ball, in feet, thrown with an initial velocity of 112 feet per second from an initial height of 20 feet is given as a function of time t (in seconds) by s(t)= -16t^2+112t+20. What is the maximum height of the ball?
  3. Algebra - word problem

    A red ball and a green ball are simultaneously tossed into the air. The red ball is given an initial velocity of 96 feet per second, and its height, t seconds after it is tossed is (-16t^2 + 96t) feet. The green ball is given an initial …
  4. 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 …
  5. 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 …
  6. calculus

    a ball is thrown directly upward with a velocity of 40 feet/seconds. its height in feet after t seconds is given by h(t)equals 40t-16t squared
  7. calculus

    a ball is thrown directly upward with a velocity of 40 feet/seconds. its height in feet after t seconds is given by h(t)equals 40t-16t squared
  8. calculus

    a ball is thrown directly upward with a velocity of 40 feet/seconds. its height in feet after t seconds is given by h(t)equals 40t-16t squared
  9. Math 1105

    - The heights of a ball (in feet) thrown with an initial velocity of 90 feet per second from an initial velocity of 90 feet per second from an initial height of 4 feet is given as a function of time t(in seconds)by s(t)= -16t^2+90t+4
  10. Math

    In physics, one learns that the height of an object thrown upward from an initial height of h0 feet with an initial velocity of v0 (in feet per second) is given by the formula h(t)=−16t^2+v0t+h0 feet where t is the amount of …

More Similar Questions