Question
11. 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? (1 point)
height of the object after t seconds. When will the object hit the ground? (1 point)
Answers
GPT 3.5
To find when the object will hit the ground, we need to find the time at which the height of the object is 0 (i.e. when h(t) = 0).
So, we set -14t^2 + 98 = 0 and solve for t:
-14t^2 + 98 = 0
-14t^2 = -98
t^2 = 98/14
t^2 = 7
t = √7 or t = -√7
Since time cannot be negative in this context, we will consider only the positive value:
t = √7
Therefore, the object will hit the ground in approximately 2.65 seconds.
So, we set -14t^2 + 98 = 0 and solve for t:
-14t^2 + 98 = 0
-14t^2 = -98
t^2 = 98/14
t^2 = 7
t = √7 or t = -√7
Since time cannot be negative in this context, we will consider only the positive value:
t = √7
Therefore, the object will hit the ground in approximately 2.65 seconds.