I Problem 2 A sailboat is initially headed precisely northeast at a velocity of 2.3 m/s. A gust of wind pushes the boat suddenly and causes an acceleration of 3.7 m/s² at an angle of 30 degrees south of east for 0.90 seconds. Use a coordinate system where east is +x and north is +y. a) Determine the x and y components of the acceleration. b) Determine the x and y components of the initial velocity. c) Determine Ax and Ay after 0.90 seconds. d) Determine the final velocity of the sailboat (x and y components). e) Determine the final velocity of the sailboat (magnitude and direction).

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter3: Vectors
Section: Chapter Questions
Problem 37PQ
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Problem 2
A sailboat is initially headed precisely northeast at a velocity of 2.3 m/s. A gust of wind pushes
the boat suddenly and causes an acceleration of 3.7 m/s² at an angle of 30 degrees south of
east for 0.90 seconds. Use a coordinate system where east is +x and north is +y.
a) Determine the x and y components of the acceleration.
b) Determine the x and y components of the initial velocity.
c) Determine Ax and Ay after 0.90 seconds.
d) Determine the final velocity of the sailboat (x and y components).
e) Determine the final velocity of the sailboat (magnitude and direction).
Transcribed Image Text:I Problem 2 A sailboat is initially headed precisely northeast at a velocity of 2.3 m/s. A gust of wind pushes the boat suddenly and causes an acceleration of 3.7 m/s² at an angle of 30 degrees south of east for 0.90 seconds. Use a coordinate system where east is +x and north is +y. a) Determine the x and y components of the acceleration. b) Determine the x and y components of the initial velocity. c) Determine Ax and Ay after 0.90 seconds. d) Determine the final velocity of the sailboat (x and y components). e) Determine the final velocity of the sailboat (magnitude and direction).
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