Displacement & Average Velocity

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Homework Help Overview

The problem involves a car traveling at two different speeds over specified time intervals, with the tasks of calculating total distance traveled and average velocity. The subject area pertains to kinematics and the concepts of displacement and average velocity.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • The original poster attempts to calculate total distance and average velocity using the provided speeds and times but expresses confusion regarding the correct application of the average velocity formula. Some participants point out unit errors in the calculations, emphasizing the need for correct dimensional analysis.

Discussion Status

Participants are actively engaging in clarifying the problem, with some providing feedback on unit discrepancies. There is an ongoing exploration of the definitions of average velocity versus average speed, indicating a productive dialogue without a clear consensus yet.

Contextual Notes

There are indications of confusion regarding the distinction between distance and speed, as well as the application of the average velocity formula. Participants are encouraged to check their units and definitions as part of the discussion.

Violagirl
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Homework Statement



A car travels in a straight line at 40 km/hr for 1 h and 60 km/hr for 2 h. A) How far does it travel? B) Find the average velocity.

Homework Equations



Average velocity = Δx/Δt (change in distance/change in time)


The Attempt at a Solution



In solving for A, I got (1 h x 40 m/hr + 2 h x 60 km/hr) = 160 km/hr

For B, this is where I'm confused. I know that if I try to arrange it as suggested in the formula (160 km/hr/2-1 h), wouldn't this just leave me with the remaining distance and eliminating the unit for time? Or would that be correct? I feel like it would not be though as the formula suggests, average velocity is defined by change in distance per change in time. Any help is greatly appreciated!
 
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The answer to A should have units of distance, not speed.
 
lewando said:
The answer to A should have units of distance, not speed.

Oh wow, I can't believe I missed that...Thanks a lot!
 
Violagirl said:

Homework Statement



A car travels in a straight line at 40 km/hr for 1 h and 60 km/hr for 2 h. A) How far does it travel? B) Find the average velocity.

Homework Equations



Average velocity = Δx/Δt (change in distance/change in time)
average velocity is total displacement divided by total time. The total distance divided by the total time is the average speed. Doesn't make any difference in this example, though.

The Attempt at a Solution



In solving for A, I got (1 h x 40 m/hr + 2 h x 60 km/hr) = 160 km/hr
right number, wrong units. You are solving for a distance.
For B, this is where I'm confused. I know that if I try to arrange it as suggested in the formula (160 km/hr/2-1 h), wouldn't this just leave me with the remaining distance and eliminating the unit for time? Or would that be correct? I feel like it would not be though as the formula suggests, average velocity is defined by change in distance per change in time. Any help is greatly appreciated!
check units! and welcome to PF!
 

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