A rock is thrown from one side of a river to another. The function h(t) = - 16t^2+80t+30

gives the height in inches of the rock t seconds after it has been thrown.

Find h(3;
. Response area
What does h(2)
represent in the context of this problem? Response area
Does it make sense to find h(-1)
in the context of this problem? Response area
What is a reasonable domain given the context of this problem? Response area

1 answer

h(3) represents the height of the rock 3 seconds after it has been thrown.

h(2) represents the height of the rock 2 seconds after it has been thrown.

It does not make sense to find h(-1) in this context because time cannot be negative.

A reasonable domain for the function would be all non-negative real numbers, as time cannot be negative in this context. So, the domain would be [0, ∞).