A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v, = 23.0 m/s. The cliff is h = 61.0 m above a flat, horizontal beach as shown in the figure. (a) What are the coordinates of the initial position of the stone? Yo-61 (b) What are the components of the initial velocity? Vox-23 Voy -0 v m/s v 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. Let the variable t be measured in seconds. Do not include units 23 your answer.) y= -9.8t (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.) y= (e) How long after being released does the stone strike the beach below the cliff? (f) With what speed and angle of impact does the stone land? x m/s x ° below the horizontal

College Physics
11th Edition
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Chapter1: Units, Trigonometry. And Vectors
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A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v, = 23.0 m/s. The cliff is h = 61.0 m above a flat, horizontal beach as shown in the figure.
(a) What are the coordinates of the initial position of the stone?
Xo = 0
%3D
m
0 =161
(b) What are the components of the initial velocity?
V
= 23
m/s
Ox
V
Oy
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. Let the variable t be measured in seconds. Do not include units in your answer.)
Vx =
23
V
-9.8t
(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 =
とミ
(e) How long after being released does the stone strike the beach below the cliff?
(f) With what speed and angle of impact does the stone land?
X m/s
X ° below the horizontal
Transcribed Image Text:A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v, = 23.0 m/s. The cliff is h = 61.0 m above a flat, horizontal beach as shown in the figure. (a) What are the coordinates of the initial position of the stone? Xo = 0 %3D m 0 =161 (b) What are the components of the initial velocity? V = 23 m/s Ox V Oy 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. Let the variable t be measured in seconds. Do not include units in your answer.) Vx = 23 V -9.8t (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 = とミ (e) How long after being released does the stone strike the beach below the cliff? (f) With what speed and angle of impact does the stone land? X m/s X ° below the horizontal
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