Question

What does h(3.2) represent?

the height of the rock 3.2 seconds before it reaches the ground
the time it takes the rock to reach the ground, or 3.2 seconds
the time it takes the rock to reach a height of 3.2 meters
the height of the rock 3.2 seconds after it is propelled

Answer 1

The answer is D

Answer 2

the height of the rock 3.2 seconds after it is propelled

Explanation:

The complete question is

The function h(t) = –16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot

Let

t------> the time in seconds

h----> the the height of a rock after it is propelled by a slingshot in meters

we know that

`h(t)=-16t^(2) +28t+500`

For
`x=3.2\ sec`

Find the value of h(t)

`h(3.2)=-16(3.2)^(2) +28(3.2)+500=425.76\ meters`

therefore

h(3.2) represent the height of the rock
`3.2` seconds after it is propelled

see the attached figure to better understand the problem