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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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Mathematics
4 years
2021-07-23T19:54:52+00:00
2021-07-23T19:54:52+00:00 2 Answers
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Answers ( )
Answer:
−5(t−3)^2+45
Ball reaches after 3 seconds
Step-by-step explanation:
took the dumb quiz
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.