A student stands at the edge of a cliff and throws a stone horizontally over the
ID: 2163116 • 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 = 24.0 m/s. The cliff is h = 46.6 m above a body of water as shown in the figure below.(a) What are the coordinates of the initial position of the stone? (Hint: Let the student's position be the origin of the coordinate system.)
xi =
yi =
(b) What are the components of the initial velocity of the stone?
vix = m/s
viy = m/s
(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. Indicate the direction of the velocity with the sign of your answer.)
vfx =
vfy =
(f) Write symbolic equations for the position of the stone as a function of time. (Use the following as necessary: vix, g, and t. Indicate the direction of the displacement with the sign of your answer.)
xf =
yf =
(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?
v = m/s
? =
Explanation / Answer
a) (0,46) b) Vix = 24m/s Viy = 0 e) Vix = 24 Viy = 9.8*t f) Xf= 24*t Xy = 46 - 0.5*9.8 *(t^2) g) 46 = 0.5 * 9.8 * (t^2) t =3.064s h)Vfx = 24 i Vfy = 30.02 308.64degrees counter clockwise from the x-axis
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