A woman stands at the edge of a cliff and throws a pebble horizontally over the edge with a speed of v0 = 20.5 m/s.The pebble leaves her hand at a height of h = 55.0 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 pebble leaves the hand. Answer parts a-f. (a) What are the coordinates of the initial position of the pebble? (Enter your answers in m.)Xo =хоYo =Vy(b) What are the components of the initial velocity? (Enter your answers in m/s.)m/sVoxm/sVoy=Vx ==X =my =m(c) Write the equations for the x- and y-components of the velocity of the pebble 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 inyour answers.)Vym/sXm/si(d) Write the equations for the position of the pebble 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 includeunits in your answers.)mm(e) How long (in s) after being released does the pebble strike the ground below the cliff?S(f) with what speed (in m/s) and angle of impact (in degrees clockwise from the +x-axis) does the pebble land?m/sVf=8 =• clockwise from the +x-axis

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A woman stands at the edge of a cliff and throws a pebble horizontally over the edge with a speed of v₀ = 20.5 m/s.The pebble leaves her hand at a height of h = 55.0 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 pebble leaves the hand. Answer parts a-f.

(a) What are the coordinates of the initial position of the pebble? (Enter your answers in m.)
Xo =
хо
Yo =
Vy
(b) What are the components of the initial velocity? (Enter your answers in m/s.)
m/s
Vox
m/s
Voy
=
Vx =
=
X =
m
y =
m
(c) Write the equations for the x- and y-components of the velocity of the pebble 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.)
Vy
m/s
X
m/s
i
(d) Write the equations for the position of the pebble 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.)
m
m
(e) How long (in s) after being released does the pebble strike the ground below the cliff?
S
(f) with what speed (in m/s) and angle of impact (in degrees clockwise from the +x-axis) does the pebble land?
m/s
Vf=
8 =
• clockwise from the +x-axis

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