A person stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 15.0 m/s. The stone leaves his hand at a height of h = 52.0 m above level ground at the bottom of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the stone leaves the hand. (a) What are the coordinates of the initial position of the stone? (Enter your answers in m.) (b) What are the components of the initial velocity? (Enter your answers in m/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. Assume that vx and vy are in m/s and t is in seconds. Do not include units in your answers.)

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
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A person stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of

v0 = 15.0 m/s.

The stone leaves his hand at a height of

h = 52.0 m

above level ground at the bottom of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the stone leaves the hand.

(a) What are the coordinates of the initial position of the stone? (Enter your answers in m.)
 
(b) What are the components of the initial velocity? (Enter your answers in m/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. Assume that vx and vy are in m/s and t is in seconds. Do not include units in your answers.)
 
(d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: t. Assume that x and y are in meters and t is in seconds. Do not include units in your answers.)
 
(e) How long (in s) after being released does the stone strike the ground below the cliff?
 
(f) With what speed (in m/s) and angle of impact (in degrees clockwise from the +x-axis) does the stone land?
 
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