a 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?

Question

round to one decimal place

Answer 1

To find the time when the stick hits the ground, we need to set h = 0 and solve for t in the given function h = -16t^2 + 82.

0 = -16t^2 + 82
16t^2 = 82
t^2 = 82/16
t^2 = 5.125
t = √5.125
t ≈ 2.3 seconds

Therefore, the stick hits the ground at approximately 2.3 seconds.