Question

If an object is projected upward with an initial velocity of 128 ft per​ sec, its height h after t seconds is h equals negative 16 t squared plus 128 t. Find the height of the object after 2 seconds.

Answer 1

The height of the object after 2 seconds will be 192 feet.

Step-by-step explanation

The height after
`t` seconds is given by....

`h= -16t^2+128t`

Now for finding the height of the object after 2 seconds, we need to plug
`t=2` into the above equation. So we will get.....

`h=-16(2)^2 +128(2)\\ \\ h=-64+256=192`

So, the height of the object after 2 seconds will be 192 feet.