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)=12at2+s
, where the gravitational constant, a
, is -9.8 meters per second squared, s
is the initial height, and h(t)
is the height in meters modeled as a function of time, t
.
Which of the following statements are true about the situation and its graph?
Select all that apply.
(4 points)
Responses
Point A is the coordinate (0,10).
Point A is the coordinate (0,10).
Point B is the coordinate (10,0).
Point B is the coordinate (10,0).
Point A represents the initial height of the rock.
Point A represents the initial height of the rock.
Point B represents the initial height of the rock.
Point B represents the initial height of the rock.
The equation for the situation is h(t)=4.9t2+10
.
The equation for the situation is h of t is equal to 4 point 9 t squared plus 10.
The equation for the situation is h(t)=−4.9t2+10
.
The equation for the situation is h of t is equal to negative 4 point 9 t squared plus 10.
The rock hits the surface of the water after 137
seconds.
The rock hits the surface of the water after 1 and 3 sevenths seconds.
The rock hits the surface of the water after 157
seconds.
- Point A is the coordinate (0,10).
- Point A represents the initial height of the rock.
- The equation for the situation is h(t)=4.9t^2+10.