A bird drops a stick to the ground from a height of 200 ft. The function h= -16t^2+200 gives the sticks 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 the time it takes for the stick to hit the ground, we need to set h = 0 in the given function:

0 = -16t^2 + 200

Solving this equation for t:

16t^2 = 200
t^2 = 200/16
t^2 = 12.5
t = sqrt(12.5)
t ≈ 3.53 seconds

Therefore, the stick hits the ground at approximately 3.53 seconds after it is dropped.