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 14.0 m/s. The cliff is h = 52.0 m above a flat, horizontal beach.

(a) What are the coordinates of the initial position of the stone?

xo = 0m

yo = 52m

(b) What are the components of the initial velocity?

vox = 14m/s

voy = 0m/s

(c) Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not state units in your answer.)

vx = __?__

vy = __?__

(d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not state units in your answer.)

x = __?__

y = __?__

(e) How long after being released does the stone strike the beach below the cliff? ____?____ s

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

vf = __?__ m/s

? = __?__? below the horizontal

Explanation / Answer

c)vx=ucos

vy=-gsint

d)14*t=x

y=52-gsint

e)14/10=1.4

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