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

Question

A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of vi = 19.5 m/s. The cliff is h = 46.6 m above a body of water as shown in the figure below. (Please see http://i50.tinypic.com/2z855pi.gif) (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 = ___m yi = ___m (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? (Please give numerical answer in seconds) (h) With what speed and angle of impact does the stone land? v = ___m/s ? = ____

Explanation / Answer

Simple and Correct:

a) (0,0)
b) 19.6,0
e) vx = 19.6 m/s

vy = -gt

f) Xf = 19.6t m

Xy = -gt2/2

g) 3.08 sec

h) v = 36.01 m/s at 147.02 degrees with positive x axis

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