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A student stands at the edge of a cliff and throws a stone horizontally over the

ID: 1278798 • Letter: A

Question

A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of vi = 16.3 m/s. The cliff is h = 48.0 m above a body of water as shown in the figure below.

(c) What is the appropriate analysis model for the vertical motion of the stone? (Select all that apply.)

free fall motion

OR

g = 9.8 m/s2

OR

constant velocity motion

OR

no acceleration from gravity

OR

g = -9.8 m/s2



(d) What is the appropriate analysis model for the horizontal motion of the stone? (Select all that apply.)

free fall motionconstant

OR

velocity in the horizontal direction

OR

g = 9.8 m/s2

OR

g = -9.8 m/s2

OR

no acceleration from gravity


(e) Write symbolic equations for the x and y components of the velocity of the stone as a function of time. (Use the following as necessary: vix, g, and t.)



(f) Write symbolic equations for the position of the stone as a function of time. (Use the following as necessary: vix, g and t.)



(g) How long after being released does the stone strike the water below the cliff?


(h) With what speed and angle of impact does the stone land?

vfx = vfy =

Explanation / Answer

1) in vertical free fall motion

2) in horizontal no acceleration..

3) vfx= v

vfy= -g*t

4)xf= v*t

yf= -0.5g*t^2

5) vy= -g*t