Question

A girl is throwing a ball off the cliff into the ocean. The polynomial h ( t ) = − 16 t 2 + 380 gives the height of a ball t seconds after it is dropped from a 380-foot tall cliff. Find the height after t = 1 seconds.

Answer 1

Step 1:

Write the function:

`h(t)=-16t^2\text{ + 380}`

Step 2:

To find the height after 1 second, you will substitute t = 1

`\begin{gathered} h(t)=-16t^2\text{ + 380} \\ h(1)\text{ = -16 }*1^2\text{ + 380} \\ h(1)\text{ = -16 + 380} \\ h(1)\text{ = 364 foot} \end{gathered}`

Final answer

364