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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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Question

A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of

v₀ = 14.0 m/s.

The cliff is h = 29.0 m above a flat, horizontal beach as shown in the figure.

A student stands on the edge of a cliff with his 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 student's hand where the base of the cliff meets the flat ground. The student throws a stone horizontally rightward with initial velocity vector v₀. The stone 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 stone?

x₀	=	m
y₀	=	m

(b) What are the components of the initial velocity?

v_0x	=	m/s
v_0y	=	m/s

(c) Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.)

v_x	=
v_y	=

(d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not state units in your answer.)

x	=
y	=

(e) How long after being released does the stone strike the beach below the cliff?
s

(f) With what speed and angle of impact does the stone land?

v_f	=	m/s
?	=	° below the horizontal

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