bird drops a stick to the ground from a height of 82ft. The function h=-16t^2+82 gives the stick's approximate height h above the ground, in feet after t seconds. At about what time does the stick hit the ground

Answer 1

To find when the stick hits the ground, we need to determine the time when the height (h) equals zero.

Given the function h = -16t^2 + 82, we set h = 0 and solve for t:

-16t^2 + 82 = 0
-16t^2 = -82
t^2 = 82/16
t^2 = 5.125
t ≈ ±√5.125
t ≈ ±2.264

Since time cannot be negative in this context, we take the positive value:

t ≈ 2.264 seconds

Therefore, the stick hits the ground at about 2.264 seconds after being dropped.