A man stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of v, = 21.5 m/s. The rock leaves his hand at a height of h = 44.0 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 = 0 Yo = 44.0 (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox = 21.5 m/s Voy = 0 v m/s (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 v, and v, are in m/s and t is in seconds. Do not include units in your answers.) Vx =21,5 v m/s -9.80

Physics for Scientists and Engineers: Foundations and Connections
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Chapter3: Vectors
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(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 =
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 =
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
(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?
Vf =
m/s
° clockwise from the +x-axis
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 = 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 = 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 (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? Vf = m/s ° clockwise from the +x-axis
= 21.5 m/s. The rock leaves his hand at a height of h = 44.0 m above level ground at the bottom of
A man stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of vo
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.
h
(a) What are the coordinates of the initial position of the rock? (Enter your answers in m.)
44.0
Yo
(b) What are the components of the initial velocity? (Enter your answers in m/s.)
Vox
21.5
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 v, and v, are in m/s and t is in seconds. Do not include
units in your answers.)
21.5
m/s
%D
Vy
-9.80
Transcribed Image Text:= 21.5 m/s. The rock leaves his hand at a height of h = 44.0 m above level ground at the bottom of A man stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of vo 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. h (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) 44.0 Yo (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox 21.5 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 v, and v, are in m/s and t is in seconds. Do not include units in your answers.) 21.5 m/s %D Vy -9.80
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