How is Average Velocity Calculated for a Two-Part Journey?

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Homework Help Overview

The discussion revolves around calculating average velocity for a two-part journey involving a car's travel in different directions and speeds. The subject area includes kinematics and vector analysis.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the need to calculate total displacement by vectorially adding displacement vectors and question how to find the direction of average velocity. There is mention of breaking down displacements into x and y components.

Discussion Status

Some participants have provided guidance on calculating total displacement and suggested methods for determining average velocity magnitude and direction. There appears to be an ongoing exploration of the necessary steps without a clear consensus on the approach.

Contextual Notes

Participants are working within the constraints of an online homework platform, which may influence their approach and the feedback they receive on their attempts.

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A car travels east at 73 km/h for 1.4 h. It then travels 30.0° east of north at 129 km/h for 0.5 h.
(a) What is the average speed for the trip?
87.7 km/h

(b) What is the average velocity for the trip?
Magnitude ____ km/h
Direction ____



Homework Equations


V avg= delta r/delta t
delta r= rf-ri/tf-ti


The Attempt at a Solution



64.5km-102.2km=-37.8km
.5h-1.4h=-.9h

(-37.8km)/(-.9h)=42.1 km/h

not sure how to find the direction, but I am doing my h.w. online and it tells me my answer is incorrect. Am I even going in the right direction?
Any help please?
 
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Average velocity is total displacement divided by total time. You have to get the total displacement by vectorially adding up the 2 displacement vectors.
 
so Jay you are saying I have to find the x and y comp to find the total displacement
 
Yes, get the x and y components of each of the 2 displacements you have calculated, add up each separately, then get the resultant displacement magnitude and direction using pythagorus and trig. That's the total displacement, you have the time, solve for the average velocity magnitude and direction.
 

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