Question
13)
A rock is dropped off a cliff that is 10 meters high into a lake below. (Assume there is no air resistance.) The formula for the height of an object dropped is
h (t) = 1/2 at^2 + s, where the gravitational constant,
, is -9.8 meters per second squared, s is the initial height, and h (t) is the height in meters modeled as function of time, t.
Which of the following statements are true about the situation and its graph?
select all that apply
Point A is the coordinate (0,10).
Point B is the coordinate (10,0).
Polnt A represents the initial height of the rock.
Point B represents the initial height of the rock.
The equation for the situation is h (t) = 4.92 + 10.
The equation for the situation is h (t) = -4.912 + 10
The rock hits the surface of the water after 1 3/7 seconds.
The rock hits the surface of the water after 1 5/7 seconds.
Answers
GPT 3.5
- Point A is the coordinate (0,10). (True)
- Point B is the coordinate (10,0). (False)
- Point A represents the initial height of the rock. (True)
- Point B represents the initial height of the rock. (False)
- The equation for the situation is h (t) = 4.92 + 10. (False)
- The equation for the situation is h (t) = -4.912 + 10. (True)
- The rock hits the surface of the water after 1 3/7 seconds. (False)
- The rock hits the surface of the water after 1 5/7 seconds. (True)
- Point B is the coordinate (10,0). (False)
- Point A represents the initial height of the rock. (True)
- Point B represents the initial height of the rock. (False)
- The equation for the situation is h (t) = 4.92 + 10. (False)
- The equation for the situation is h (t) = -4.912 + 10. (True)
- The rock hits the surface of the water after 1 3/7 seconds. (False)
- The rock hits the surface of the water after 1 5/7 seconds. (True)