Question

the function h defined by h(t)=(49 + 4.9t)(8 - t) models the height, in meters, of an object t seconds after it is dropped from a the top of a building. from what height is the object dropped? hint: type the function given to you into graphing desmos to see the graph. the object is dropped from -8 meters. the object is dropped from 369.9 meters. the object is dropped from 49 meters. the object is dropped from 392 meters.

Explanation:

Step1: Identify the time when object is dropped

When the object is dropped, $t = 0$.

Step2: Substitute $t = 0$ into the function

Substitute $t=0$ into $h(t)=(49 + 4.9t)(8 - t)$. Then $h(0)=(49+4.9\times0)(8 - 0)$.
First, $49+4.9\times0=49$ and $8 - 0=8$.
So $h(0)=49\times8=392$.

Answer:

The object is dropped from 392 meters.