Question

The height of a penny dropped from a 64-foot-tall bridge is modeled by the function h=-16t^2+64, where t is the time in seconds and h is the highest of the penny above the lake.

Part AComplete the table of values below.
Time(s),t | 0 | 0.5 | 1 | 1.5 | 2 |
-----------------------------------------------------
Height (ft), h | 64 | | | | |
Please tell me how you do the whole things thank yoy

Answer 1

For a sec, I thought this was AB Calculus with derivatives and second derivatives but it isn't! That's a good thing!

Anyhow, all the problem is asking is to plug in the values of time to find the height.

We see when time is zero, the height is 64 feet. Plug in zero for the "t" variable and you'll get 64 feet.

When the penny has dropped for half a second or 0.5 seconds, we know the "t" variable and plug in that value.

h = -16(.5)^2 + 64.
h = -16(.25) + 64.
h = -4 + 64.
h = 64 feet when the penny has dropped for half a second.

I encouraged student progression when given the knowledge to complete a problem. We know how to complete the rest of the table. Good luck!