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A cab driver heads south with a steady speed of v₁ = 20.0 m/s for t₁ = 3.00 min, then makes a right turn and travels at v₂ = 25.0 m/s for t₂ = 2.80 min, and then drives northwest at v3 = 30.0 m/s for t3 = 1.00 min. For this 6.80-min trip, calculate the following. Assume +x is in the eastward direction. (a) total vector displacement (Enter the magnitude in m and the direction in degrees south of west.) magnitude direction For each straight-line movement, model the car as a particle under constant velocity, and draw a diagram of the displacements, labeling the distances and angles. Let the starting point be the origin of your coordinate system. Use the relationship speed = distance/time to find the distances traveled during each segment. Write the displacement vector, and calculate its magnitude and direction. Don't forget to convert min to s! m Model the car as a particle under constant velocity, and draw a diagram of the displacements, labeling the distances and angles. Let the starting point be the origin of your coordinate system. Use the relationship speed = distance/time to find the distances traveled during each segment. Write the displacement vector, and calculate its magnitude and direction. Don't forget to convert min to s!° south of west (b) average speed (in m/s) m/s (c) average velocity (Enter the magnitude in m/s and the direction in degrees south of west.) magnitude direction m/s ° south of west

A cab driver heads south with a steady speed of v₁ = 20.0 m/s for t₁ = 3.00 min, then makes a right turn and travels at v₂ = 25.0 m/s for t₂ = 2.80 min, and then drives northwest at v3 = 30.0 m/s for t3 = 1.00 min. For this 6.80-min trip, calculate the following. Assume +x is in the eastward direction. (a) total vector displacement (Enter the magnitude in m and the direction in degrees south of west.) magnitude direction For each straight-line movement, model the car as a particle under constant velocity, and draw a diagram of the displacements, labeling the distances and angles. Let the starting point be the origin of your coordinate system. Use the relationship speed = distance/time to find the distances traveled during each segment. Write the displacement vector, and calculate its magnitude and direction. Don't forget to convert min to s! m Model the car as a particle under constant velocity, and draw a diagram of the displacements, labeling the distances and angles. Let the starting point be the origin of your coordinate system. Use the relationship speed = distance/time to find the distances traveled during each segment. Write the displacement vector, and calculate its magnitude and direction. Don't forget to convert min to s!° south of west (b) average speed (in m/s) m/s (c) average velocity (Enter the magnitude in m/s and the direction in degrees south of west.) magnitude direction m/s ° south of west

Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 11P: A particle moves along the x axis according to the equation x = 2.00 + 3.00t 1.00t2, where x is in...
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A cab driver heads south with a steady speed of v₁ = 20.0 m/s for t₁ = 3.00 min, then makes a right turn and travels at v₂ = 25.0 m/s for t₂ = 2.80 min, and then drives northwest at v3 = 30.0 m/s for t3 = 1.00 min. For this 6.80-min trip, calculate the following. Assume +x is in the eastward direction. (a) total vector displacement (Enter the magnitude in m and the direction in degrees south of west.) magnitude direction For each straight-line movement, model the car as a particle under constant velocity, and draw a diagram of the displacements, labeling the distances and angles. Let the starting point be the origin of your coordinate system. Use the relationship speed = distance/time to find the distances traveled during each segment. Write the displacement vector, and calculate its magnitude and direction. Don't forget to convert min to s! m Model the car as a particle under constant velocity, and draw a diagram of the displacements, labeling the distances and angles. Let the starting point be the origin of your coordinate system. Use the relationship speed = distance/time to find the distances traveled during each segment. Write the displacement vector, and calculate its magnitude and direction. Don't forget to convert min to s!° south of west (b) average speed (in m/s) m/s (c) average velocity (Enter the magnitude in m/s and the direction in degrees south of west.) magnitude direction m/s ° south of west
Transcribed Image Text:A cab driver heads south with a steady speed of v₁ = 20.0 m/s for t₁ = 3.00 min, then makes a right turn and travels at v₂ = 25.0 m/s for t₂ = 2.80 min, and then drives northwest at v3 = 30.0 m/s for t3 = 1.00 min. For this 6.80-min trip, calculate the following. Assume +x is in the eastward direction. (a) total vector displacement (Enter the magnitude in m and the direction in degrees south of west.) magnitude direction For each straight-line movement, model the car as a particle under constant velocity, and draw a diagram of the displacements, labeling the distances and angles. Let the starting point be the origin of your coordinate system. Use the relationship speed = distance/time to find the distances traveled during each segment. Write the displacement vector, and calculate its magnitude and direction. Don't forget to convert min to s! m Model the car as a particle under constant velocity, and draw a diagram of the displacements, labeling the distances and angles. Let the starting point be the origin of your coordinate system. Use the relationship speed = distance/time to find the distances traveled during each segment. Write the displacement vector, and calculate its magnitude and direction. Don't forget to convert min to s!° south of west (b) average speed (in m/s) m/s (c) average velocity (Enter the magnitude in m/s and the direction in degrees south of west.) magnitude direction m/s ° south of west
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