Mathematics

Question

Tanya kicks a ball into the air. The function that models this scenario is f(t) = –16t2 + 96t, where h is the height of the ball in feet and t is the time seconds. When will the ball hit the ground?

2 Answer

  • The ball will hit the ground when h(t)=0 so:

    16t^2-96t=0

    16t(t-6)=0, since t>0

    t=6

    So the ball with hit the ground after 6 seconds.
  • The ball hit the ground after 6 seconds if Tanya kicks a ball into the air and the function that models this scenario is f(t) = –16t² + 96t.

    What is a parabola?

    It is defined as the graph of a quadratic function that has something bowl-shaped.

    We have:

    Tanya kicks a ball into the air. The function that models this scenario is f(t) = –16t² + 96t

    Plug f(t) = 0

    –16t² + 96t = 0

    After solving the above quadratic equation:

    -t(t - 6) = 0

    t = 0(initial time)  or t = 6

    Thus, the ball hit the ground after 6 seconds if Tanya kicks a ball into the air and the function that models this scenario is f(t) = –16t² + 96t.

    Learn more about the parabola here:

    brainly.com/question/8708520

    #SPJ2

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