A chauffeur heads south with a steady speed of v, = 22.0 m/s for t, = 3.00 min, then makes a right turn and travels at v, = 25.0 m/s for t, = 3.00 min, and then drives northwest at va = 30.0 m/s for t, = 1.00 min. For this 7.00-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.) 6613.62 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 magnitude 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 direction 29.2 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) 24.4 V m/s (c) average velocity (Enter the magnitude in m/s and the direction in degrees south of west.) magnitude 15.7 The average velocity is the total displacement divided by the total time. Use your result from part (a) for the displacement. m/s direction 29.2 The angle is identical to the angle of the displacement.° south of west

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A chauffeur heads south with a steady speed of v, = 22.0 m/s for t, = 3.00 min, then makes a right turn and travels at v, = 25.0 m/s for t, = 3.00 min, and then drives northwest at v, = 30.0 m/s for
t, = 1.00 min. For this 7.00-min trip, calculate the following. Assume +x is in the eastward direction.
%3D
(a) total vector displacement (Enter the magnitude in m and the direction in degrees south of west.)
magnitude
6613.62
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
direction
29.2
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)
24.4
m/s
(c) average velocity (Enter the magnitude in m/s and the direction in degrees south of west.)
magnitude
15.7
The average velocity is the total displacement divided by the total time. Use your result from part (a) for the displacement. m/s
direction
29.2
The angle is identical to the angle of the displacement.° south of west
Transcribed Image Text:A chauffeur heads south with a steady speed of v, = 22.0 m/s for t, = 3.00 min, then makes a right turn and travels at v, = 25.0 m/s for t, = 3.00 min, and then drives northwest at v, = 30.0 m/s for t, = 1.00 min. For this 7.00-min trip, calculate the following. Assume +x is in the eastward direction. %3D (a) total vector displacement (Enter the magnitude in m and the direction in degrees south of west.) magnitude 6613.62 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 direction 29.2 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) 24.4 m/s (c) average velocity (Enter the magnitude in m/s and the direction in degrees south of west.) magnitude 15.7 The average velocity is the total displacement divided by the total time. Use your result from part (a) for the displacement. m/s direction 29.2 The angle is identical to the angle of the displacement.° south of west
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