If an object is dropped from a height of 98 ft, the function h(t) = -14t^2+98 gives the height of the object after t seconds. When will the object hit the ground?

Responses

14 seconds
14 seconds - no response given

84 seconds
84 seconds - no response given

7 seconds
7 seconds - not selected, this is the correct answer

5 seconds

The object will hit the ground when h(t) = 0.

-14t^2 + 98 = 0
-14t^2 = -98
t^2 = 98/14
t^2 = 7
t = sqrt(7) seconds

Approximately 2.65 seconds

Therefore, the object will hit the ground after approximately 2.65 seconds.

Answer: 7 seconds