Mathematics

Question

Physics students drop a ball from the top of a 100 foot high building and model its height as a function time with the equation h(t) = 100 - 16t^2.The height, h, is measured in feet and time, t, is measured is seconds.
Find the value of h(0). Include proper units. What does this output represent?

2 Answer

  • Answer: h(0) = 100 ,  h(0) represents intial height

    Step-by-step explanation:

    h(t) = 100 - 16t²

    h(0) = 100 - 16(0)²

          = 100 - 0

          = 100

    h(0) represents the height at 0 seconds, which is the initial height

  • The height of the ball at [tex]0\;\rm seconds[/tex] is [tex]100\;\rm feets[/tex] as the ball was at the top of the building in the hand of the physics student.

    According to the question, the given height function is [tex]h(t)=100-16t^2[/tex] where [tex]h[/tex] is the height of the building in feet and [tex]t[/tex] is the elapsed time in seconds.

    Substitute [tex]t=0[/tex] in the height equation to determine the height of the ball at 0 second as-

    [tex]h(0)=100-16(0)^2\\h(0)=100\;\rm feets[/tex]

    Hence, the height of the ball at [tex]0\;\rm seconds[/tex] is [tex]100\;\rm feets[/tex] as the ball was at the top of the building in the hand of the physics student.

    Learn more about equations here:

    https://brainly.com/question/24169758?referrer=searchResults

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