Question

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

What does h(3.2) represent?

Answer 1

You would substitute t in the equation for 3.2....-16 (3.2)squared+28 (3.2)+500 then solve. To solve you multiply first so -16 (3.2)squared and 28 (3.2), you should get -51.2squared and 89.6. When squaring -51.2 you should come up with 2,621.44 then you put it into the equation and add. 2,621.44 + 89.6 + 500 =?

Answer 2

Answer: h(3.2) =753.44 units represents the height after 3.2 seconds .

Explanation:

Since we have given that the function

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

where t represents the time in seconds .

And we need to find the value of h(3.2)

So,

we just substitute the value of 3.2 in the function,

`h(3.2)=-16* (3.2)^2+28(3.2)+500\\\\h(3.2)=16* 10.24+89.6+500\\\\h(3.2)=753.44`

So, after 3.2 seconds the height will be 753.44 units.