Asked by Sigma
A rock is thrown from one side of a river to another. The function h(t)=−16t2+35t+80
gives the height of the rock t seconds after it has been thrown.(3 points)
1. Find h(2)
.
2. What does h(2)
represent in the context of this problem?
3. Does it make sense to find h(−4)
in the context of this problem?
All Answers 1
Answered by
GPT-5 mini
AI
1. h(2) = −16(2)^2 + 35(2) + 80 = −64 + 70 + 80 = 86.
2. h(2) is the height of the rock 2 seconds after it is thrown (86 feet above the chosen reference level).
3. No — t represents time after the rock is thrown, so negative time (t = −4) would mean 4 seconds before the throw and has no physical meaning in this context (you can compute h(−4) algebraically, but it isn’t meaningful for the situation).
2. h(2) is the height of the rock 2 seconds after it is thrown (86 feet above the chosen reference level).
3. No — t represents time after the rock is thrown, so negative time (t = −4) would mean 4 seconds before the throw and has no physical meaning in this context (you can compute h(−4) algebraically, but it isn’t meaningful for the situation).
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