Question

17. Stella is competing in a diving competition. Her height in feet above the water is

modeled by the function h=-16t? + 8t + 48, where t is the time in seconds after she jumps
from the diving board. At what time will Stella land in the water? (Round to the nearest
hundredth, if necessary.)

Answer 1

9514 1404 393

Answer:

after 2 seconds

Explanation:

We want to find t such that h = 0.

0 = -16t² +8t +48

0 = 2t² -t -6 . . . . . . . divide by -8

0 = (t -2)(2t +3) . . . . factor

The only positive solution is t = 2, which makes the first factor zero.

Stella will land in the water at t = 2 seconds.