Question

An arrow is shot straight up into the air. The function h(t) = -16t² + 192t + 5 gives the height (in feet) of the arrow after t seconds. Round answers to two decimal places as needed. What is the height of the arrow after 3 seconds?

Answer 1

To determine the height of the arrow after 3 seconds, plug in the value of t=3 into the equation h(t) to get h(3) = -16(3)² + 192(3) + 5, which simplifies to 437 feet.

Step-by-step explanation:

To find the height of the arrow after 3 seconds using the function h(t) = -16t² + 192t + 5, you substitute the time variable t with 3 seconds and perform the calculation:

h(3) = -16(3)² + 192(3) + 5

h(3) = -16(9) + 576 + 5

h(3) = -144 + 576 + 5

h(3) = 432 + 5

h(3) = 437 feet

Thus, the height of the arrow after 3 seconds is 437 feet.