A person stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of vo = 23.0 m/s. The rock leaves his hand at a height of h = 43.0 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 rock leaves the hand. Ⓡ (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) xo = Yo = Voy Vo = (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox m/s m/s = m m

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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A person stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of v = 23.0 m/s. The rock leaves his hand at a height of
h = 43.0 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 rock leaves the hand.
4
7
i
(a) What are the coordinates of the initial position of the rock? (Enter your answers in m.)
Xo =
Yo =
m
(b) What are the components of the initial velocity? (Enter your answers in m/s.)
Vox =
m/s
m/s
Voy
Transcribed Image Text:A person stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of v = 23.0 m/s. The rock leaves his hand at a height of h = 43.0 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 rock leaves the hand. 4 7 i (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) Xo = Yo = m (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox = m/s m/s Voy
(c) Write the equations for the x- and y-components of the velocity of the rock with time. (Use the following as necessary: t. Assume that vand vare in m/s
and t is in seconds. Do not include units in your answers.)
Vy =
=
X =
(d) Write the equations for the position of the rock 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.)
y =
m/s
m/s
Vf =
0 =
m
m
(e) How long (in s) after being released does the rock 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 rock land?
m/s
clockwise from the +x-axis
Transcribed Image Text:(c) Write the equations for the x- and y-components of the velocity of the rock with time. (Use the following as necessary: t. Assume that vand vare in m/s and t is in seconds. Do not include units in your answers.) Vy = = X = (d) Write the equations for the position of the rock 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.) y = m/s m/s Vf = 0 = m m (e) How long (in s) after being released does the rock 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 rock land? m/s clockwise from the +x-axis
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just need help with part (c) and part (d)

A person stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of v = 23.0 m/s. The rock leaves his hand at a height of h = 43.0 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 rock leaves the hand.
Yo 43.0
(a) What are the coordinates of the initial position of the rock? (Enter your answers in m.)
Xo = 0
=
Voy
(b) What are the components of the initial velocity? (Enter your answers in m/s.)
Vox = 23.0
m/s
m/s
= 0
V x =
(c) Write the equations for the x- and y-components of the velocity of the rock with time. (Use the following as necessary: t. Assume that vand vare in m/s and t is in
seconds. Do not include units in your answers.)
Vy =
Fo
V
0
x
V
oy
X
If air resistance can be ignored, what's true about the x-component of the velocity? How does it relate to the initial vox you found in part (b)? m/s
- gt
X
What is the acceleration? What is its direction? What equation relates the velocity to the initial velocity, acceleration, and time? m/s
Transcribed Image Text:A person stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of v = 23.0 m/s. The rock leaves his hand at a height of h = 43.0 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 rock leaves the hand. Yo 43.0 (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) Xo = 0 = Voy (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox = 23.0 m/s m/s = 0 V x = (c) Write the equations for the x- and y-components of the velocity of the rock with time. (Use the following as necessary: t. Assume that vand vare in m/s and t is in seconds. Do not include units in your answers.) Vy = Fo V 0 x V oy X If air resistance can be ignored, what's true about the x-component of the velocity? How does it relate to the initial vox you found in part (b)? m/s - gt X What is the acceleration? What is its direction? What equation relates the velocity to the initial velocity, acceleration, and time? m/s
(d) Write the equations for the position of the rock 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.)
x = v t
X
If the velocity is constant in the x-direction, how is the position along the x-axis related to the initial vox and the time? m
y = y₁ - 12/181²
X
What is the acceleration? What is its direction? What equation relates the y-displacement to the acceleration in the y-direction, the initial velocity in the
y-direction, and the time? m
Transcribed Image Text:(d) Write the equations for the position of the rock 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.) x = v t X If the velocity is constant in the x-direction, how is the position along the x-axis related to the initial vox and the time? m y = y₁ - 12/181² X What is the acceleration? What is its direction? What equation relates the y-displacement to the acceleration in the y-direction, the initial velocity in the y-direction, and the time? m
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