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