Question

he 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

The function h(t) is given as :$h(t)=-16t^{2}+28t+500.$

Here t represents the time in seconds and h(t) represents the height of rock t seconds after it is propelled by a slingshot.

If t is replaced by 3.2 then h(3.2) will represent the height of rock after 3.2 seconds when the rock is propelled by a slingshot.

h(3.2)=$-16(3.2)^{2}+28(3.2)+500=-163.84+89.6+500=425.76.$

The height of rock is 425.76 after 3.2 seconds when the rock s propelled by a slingshot.

Answer 2

Given:

h ( t ) = –16 t^2 + 28t + 500

To find:

h ( 3.2 )

Solution:

h ( 3.2 ) represents the height of a  rock after 3.2 seconds.

Hence,

Substituting,

h ( 3.2 ) = -16*  ( 3.2 )^2 + 28 * 3.2 + 500

h ( 3.2 ) = 425.76

Hence, Height after 3.2 s = 425.76 units