Question

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) = -16t² + 128t + 144. What is the height of the object at 2 seconds?

Answer 1

The height of the object at 2 seconds is 336 feet.

Step-by-step explanation:

To find the height of the object at 2 seconds, we need to evaluate the function h(t) = -16t² + 128t + 144 when t = 2.

Substituting t = 2 into the function:

h(2) = -16(2)² + 128(2) + 144

h(2) = -64 + 256 + 144

h(2) = 336

Therefore, the height of the object at 2 seconds is 336 feet.