College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Textbook Question
Chapter 2, Problem 30P
A speedboat increases its speed uniformly from vi = 20.0 m/s to Vf = 30.0 m/s in a distance of 2.00 × 102 m. (a) Draw a coordinate system for this situation and label the relevant quantities, including vectors, (b) For the given information, what single equation is most appropriate for finding the acceleration? (c) Solve the equation selected in part (b) symbolically for the boat’s acceleration in terms of vf, vi, and Δx. (d) Substitute given values, obtaining that acceleration, (e) Find the time it takes the boat to travel the given distance.
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A speedboat increases its speed uniformly from vi = 20.0 m/s to vf = 30.0 m/s in a distance of 2.00 × 102 m. (a) Draw a coordinate system for this situation and label the relevant quantities, including vectors. (b) For the given information, what single equation is most appropriate for finding the acceleration? (c) Solve the equation selected in part (b) symbolically for the boat’s acceleration in terms of vf , vi, and Δx. (d) Substitute given values, obtaining that acceleration. (e) Find the time it takes the boat to travel the given distance.
The vector position of a particle varies in time according to the expression = 3.80 î − 8.80t2 ĵ where is in meters and t is in seconds.
a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.)
=
m/s
(b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.)
=
m/s2
(c) Calculate the particle's position and velocity at t = 5.00 s.
An object has an initial velocity of 29.0 m/s at 95.0° and an acceleration of 1.90 m/s2
at 200.0°. Assume that all angles are measured with respect to the positive x-axis.
(a) Write the initial velocity vector and the acceleration vector in unit vector notation.
(b) If the object maintains this acceleration for 12.0 seconds, determine the average
velocity vector over the time interval. Express your answer in your unit vector
notation.
Chapter 2 Solutions
College Physics
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