**Displacement and Velocity Calculation for a Cab Trip**A cab driver embarks on a journey with the following parameters:- **Initial Leg**: Travels south at a constant speed of \( v_1 = 20.0 \, \text{m/s} \) for \( t_1 = 3.00 \, \text{min} \).- **Second Leg**: Takes a right turn and travels at \( v_2 = 25.0 \, \text{m/s} \) for \( t_2 = 2.40 \, \text{min} \).- **Final Leg**: Drives northwest at \( v_3 = 30.0 \, \text{m/s} \) for \( t_3 = 1.00 \, \text{min} \).The total duration of the trip is \( 6.40 \, \text{min} \). Assume the positive \( x \)-axis is in the eastward direction.### Calculations Required:**(a) Total Vector Displacement**- *Magnitude:* Determine the displacement in meters.- *Direction:* Specify in degrees south of west.**(b) Average Speed**- Compute the average speed in meters per second (m/s).**(c) Average Velocity**- *Magnitude:* Compute in meters per second (m/s).- *Direction:* Indicate in degrees south of west.**Graphical Representation:**This task involves calculating vector magnitudes and directions for each leg of the trip and subsequently determining the resultant vector for total displacement and average velocity. There are no graphical diagrams provided in the context.

(a) vector displacement D→=D→1+D2→+D→3=v→1t1+v2→t2+v→3t3=20.0 m/s-j^3.00 min+25.0 m/s-i^2.40…

A cab driver heads south with a steady speed of v, = 20.0 m/s for t, = 3.00 min, then makes a right turn and travels at v, = 25.0 m/s for t, = 2.40 min, and then drives northwest at 30.0 m/s fort, = 1.00 min. For this 6.40-min trip, calculate the following. Assume +x is in the eastward direction. V3 (a) total vector displacement (Enter the magnitude in m and the direction in degrees south of west.) magnitude direction ° 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 m/s o south of west 11:43 AM direction

A cab driver heads south with a steady speed of v, = 20.0 m/s for t, = 3.00 min, then makes a right turn and travels at v, = 25.0 m/s for t, = 2.40 min, and then drives northwest at 30.0 m/s fort, = 1.00 min. For this 6.40-min trip, calculate the following. Assume +x is in the eastward direction. V3 (a) total vector displacement (Enter the magnitude in m and the direction in degrees south of west.) magnitude direction ° 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 m/s o south of west 11:43 AM direction

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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