Ingrid hit a golf ball. The height of the ball (in meters above the ground) t seconds after being hit is modeled by h(t)=-5t^2+30t In

Question

Ingrid hit a golf ball. The height of the ball (in meters above the ground) t seconds after being hit is modeled by h(t)=-5t^2+30t
Ingrid wants to know when the ball reached it’s highest point.
1/ rewrite the function in a different form(vertex or factored) where the answer appears as a number in the equation
h(t)=
2/ how many seconds after being hit does the ball reach its highest point?

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Thành Đạt 4 years 2021-07-23T19:54:52+00:00 2 Answers 150 views 0

Answers ( )

    0
    2021-07-23T19:56:12+00:00

    Answer:

    −5(t−3)^2+45

    Ball reaches after 3 seconds

    Step-by-step explanation:

    took the dumb quiz

    0
    2021-07-23T19:56:40+00:00

    Answer:

    1) h(t) = -5(t-3)^2

    2) The ball reaches the highest point at 3 seconds.

    Step-by-step explanation:

    OK. So for this question, I recommend to rewite using vertex form since the answer is given in a more concise manner than using factored.  

    First Step:

    h(t) = -5t^2+30t

    = -5(t^2-6t)

    = -5(t^2-6t+9)+45

    = -5(t-3)^2+45

    Second Step:

    The vertex form reveals the vertex to be at (3, 45).

    Therefore, the ball reaches the highest point at 3 seconds.

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