A woman stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of Vo = 21.5 m/s. The rock leaves her hand at a height of h = 48.0 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. L (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) хо 0 = m Yo 48 = m (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox 21.5 m/s m/s VOY = 0 x

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Chapter6: Motion In Two Dimensions
Section: Chapter Questions
Problem 87A
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Please answer parts d and f

=
A woman stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of v
Vo 21.5 m/s. The rock
leaves her hand at a height of h = 48.0 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.
h
X
(a) What are the coordinates of the initial position of the rock? (Enter your answers in m.)
=
0
m
хо
Yo = 48
m
(b) What are the components of the initial velocity? (Enter your answers in m/s.)
Vox
= 21.5
m/s
=
0
m/s
voy
Too
Transcribed Image Text:= A woman stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of v Vo 21.5 m/s. The rock leaves her hand at a height of h = 48.0 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. h X (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) = 0 m хо Yo = 48 m (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox = 21.5 m/s = 0 m/s voy Too
(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.)
21.5
X =
X
vox
and the
If the velocity is constant in the x-direction, how is the position along the x-axis related to the initial v
time? m
=
-9.8t
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
(e) How long (in s) after being released does the rock strike the ground below the cliff?
3.13
S
(f) with what speed (in m/s) and angle of impact (in degrees clockwise from the +x-axis) does the rock land?
V f =
98.38
X
From your equations in part (c), and the time from part (e), can you find the final x- and y-components of the
velocity? How can you use them to find the magnitude of the final velocity? m/s
0 =
77.38
X
What is the final x-component of velocity? The final y-component of velocity? How can you use them and
trigonometric functions to determine the angle? Note a positive angle measured below horizontal (clockwise
from +x) is required. ° 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.) 21.5 X = X vox and the If the velocity is constant in the x-direction, how is the position along the x-axis related to the initial v time? m = -9.8t 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 (e) How long (in s) after being released does the rock strike the ground below the cliff? 3.13 S (f) with what speed (in m/s) and angle of impact (in degrees clockwise from the +x-axis) does the rock land? V f = 98.38 X From your equations in part (c), and the time from part (e), can you find the final x- and y-components of the velocity? How can you use them to find the magnitude of the final velocity? m/s 0 = 77.38 X What is the final x-component of velocity? The final y-component of velocity? How can you use them and trigonometric functions to determine the angle? Note a positive angle measured below horizontal (clockwise from +x) is required. ° clockwise from the +x-axis
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