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 = 2.00 min, and then drives northwest at v₂ 30.0 m/s for t= 1.00 min. For this 6.00-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.) magnitude direction x 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 dista vector, and calculate its magnitude and direction. Don't forget to convert min to s! m 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 X The average velocity is the total displacement divided by the total time. Use your result from part (a) for the displacement. 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 = 2.00 min, and then drives northwest at v₂ 30.0 m/s for t= 1.00 min. For this 6.00-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.) magnitude direction x 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 dista vector, and calculate its magnitude and direction. Don't forget to convert min to s! m 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 X The average velocity is the total displacement divided by the total time. Use your result from part (a) for the displacement. m/s south of west
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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 = 2.00 min, and then drives northwest at v3 = 30.0 m/s for t3 = 1.00 min. For this 6.00-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.)
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 dista
vector, and calculate its magnitude and direction. Don't forget to convert min to s! m
• 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
X
The average velocity is the total displacement divided by the total time. Use your result from part (a) for the displacement. m/s
° south of west
direction](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7821be70-4e55-4dd1-8ec3-106e708b3dda%2F296a7725-d646-4a34-be65-129e254a869f%2Fput0ry_processed.png&w=3840&q=75)
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 = 2.00 min, and then drives northwest at v3 = 30.0 m/s for t3 = 1.00 min. For this 6.00-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.)
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 dista
vector, and calculate its magnitude and direction. Don't forget to convert min to s! m
• 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
X
The average velocity is the total displacement divided by the total time. Use your result from part (a) for the displacement. m/s
° south of west
direction
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