Question

A rock is thrown from one side of a river to another. The function h(t) = −16t2 + 80t + 30
gives the height in inches of the rock t seconds after it has been thrown.(3 points)
Put responses in the correct response input area to answer the question. Select a response, navigate to the desired input area and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
a) Find h(2.5)
. Press enter key to drop response here.Response input area

b) What does h(2.5)
represent in the context of this problem? Press enter key to drop response here.Response input area

c) Does it make sense to find h(−10)
in the context of this problem? Press enter key to drop response here.Response input area

Answer 1

a) h(2.5) = 130 inches

b) h(2.5) is the height of the rock (130 inches) 2.5 seconds after it was thrown.

c) No — t represents seconds after the rock is thrown, so t = −10 would mean 10 seconds before the throw. You can compute a number mathematically, but it has no physical meaning in this context.