The height, h, in feet, of an object thrown upward from a height of 144 feet is a function of time, t, in seconds. The height can be determined by the function h(t) -16t^2 + 128 + 144. The height of the object at 3 seconds is 384 feet. Why?

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That should read:

h(t)=-16t^2+128t+144

h(3)=-16*9+128*3+144

h(3)=384

The height of the object at 3 seconds is 384 feet.

We have given that,

h(t) =-16t^2 + 128 + 144.

Where h= height feet

time=t seconds.

What is the meaning of height?

The distance from the top to the bottom of something, or the quality of being tall

The height can be determined by the function h(t) =-16t^2 + 128 + 144

t= 3 seconds so plug the value of t=3 in h(t)

h(3)=-16×9+128×3+144

h(3)=384

Therefore, the height of the object at 3 seconds is 384 feet.

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