A woman stands at the edge of a cliff and throws a pebble horizontally over the edge with a speed of v0 = 22.5 m/s. The pebble leaves her hand at a height of h = 30.0 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. A woman stands on the edge of a cliff with her hand a height h above a flat stretch of ground below the clifftop. The +x-axis extends to the right along the ground and the +y-axis extends up from the ground to the top of the cliff. The origin O of the coordinate plane is directly below the woman's hand where the base of the cliff meets the flat ground. The woman throws a pebble horizontally rightward with initial velocity vector v0. The pebble falls with a parabolic trajectory, hitting the ground with a velocity vector v that points down and right. Vector g points straight down. (a) What are the coordinates of the initial position of the pebble? (Enter your answers in m.) x0= my0= m (b) What are the components of the initial velocity? (Enter your answers in m/s.) v0x= m/sv0y= m/s (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.) vx= m/svy= m/s (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.) x= my= 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? vf = m/sθ= ° clockwise from the +x-axis

A woman stands at the edge of a cliff and throws a pebble horizontally over the edge with a speed of v0 = 22.5 m/s. The pebble leaves her hand at a height of h = 30.0 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. A woman stands on the edge of a cliff with her hand a height h above a flat stretch of ground below the clifftop. The +x-axis extends to the right along the ground and the +y-axis extends up from the ground to the top of the cliff. The origin O of the coordinate plane is directly below the woman's hand where the base of the cliff meets the flat ground. The woman throws a pebble horizontally rightward with initial velocity vector v0. The pebble falls with a parabolic trajectory, hitting the ground with a velocity vector v that points down and right. Vector g points straight down. (a) What are the coordinates of the initial position of the pebble? (Enter your answers in m.) x0= my0= m (b) What are the components of the initial velocity? (Enter your answers in m/s.) v0x= m/sv0y= m/s (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.) vx= m/svy= m/s (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.) x= my= 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? vf = m/sθ= ° clockwise from the +x-axis

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Description: A woman stands at the edge of a cliff and throws a pebble horizontally over the edge with a speed of v0 = 22.5 m/s. The pebble leaves her hand at a height of h = 30.0 m above level ground at the bottom of the cliff, as shown in the figure. Note the c

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 = 22.5 m/s.

The pebble leaves her hand at a height of

h = 30.0 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.

A woman stands on the edge of a cliff with her hand a height h above a flat stretch of ground below the clifftop. The +x-axis extends to the right along the ground and the +y-axis extends up from the ground to the top of the cliff. The origin O of the coordinate plane is directly below the woman's hand where the base of the cliff meets the flat ground. The woman throws a pebble horizontally rightward with initial velocity vector v₀. The pebble falls with a parabolic trajectory, hitting the ground with a velocity vector v that points down and right. Vector g points straight down.

(a)

What are the coordinates of the initial position of the pebble? (Enter your answers in m.)

x₀= my₀= m

(b)

What are the components of the initial velocity? (Enter your answers in m/s.)

v_0x= m/sv_0y= m/s

(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 v_x and v_y are in m/s and t is in seconds. Do not include units in your answers.)

v_x=

m/sv_y=

m/s

(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.)

my=

(e)

How long (in s) after being released does the pebble 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 pebble land?

v_f

= m/sθ= ° clockwise from the +x-axis

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