Instantaneous Velocity: drag racing problem

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Homework Help Overview

The discussion revolves around estimating instantaneous velocity from a position-versus-time graph for a drag racing scenario involving a "funny car." Participants are attempting to determine the velocity at specific time intervals, particularly at 2.0 seconds and 4.0 seconds.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss using tangent lines to estimate slopes at given time points. There are questions about the accuracy of these tangent lines and the resulting velocity estimates. Some participants express confusion over discrepancies between their calculated velocities and the feedback from the Mastering Physics program.

Discussion Status

Some participants have reported successfully finding the correct velocity for the first time point, while others are still grappling with the second time point. There is a mix of attempts to clarify the method of drawing tangent lines and calculating slopes, with varying results being shared.

Contextual Notes

Participants are working under specific constraints imposed by the Mastering Physics program, which requires answers in proper units and significant figures. There is an ongoing exploration of how to accurately represent the slopes derived from the graph.

chinnie15
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The figure shows a graph of actual position-versus-time data for a particular type of drag racer known as a "funny car."
Physicsproblem2.png


Estimate the car's velocity at 2.0s

Equation:
v = m/s
I thought I knew how to solve this, and I made a tangent line at the curve and 2s, and when I do the slope at different points on the tangent I keep getting somewhere in the field of 50m/s. However, it keeps telling me I'm wrong. What should I be doing differently?

Thank you for your help!
 
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your answer looks ok to me. what keeps telling you that its wrong?
 
The program I have to use for class (Mastering Physics). It says express the answer with proper units and 2 significant figures, but whether I put in 50m/s or 50.0 m/s, it's still saying it's incorrect?
 
chinnie15 said:
The program I have to use for class (Mastering Physics). It says express the answer with proper units and 2 significant figures, but whether I put in 50m/s or 50.0 m/s, it's still saying it's incorrect?
I get a somewhat steeper slope. ≈ 65 m/s

Have you tried entering scientific notation?
 
Thanks!

67 m/s ended up being the correct answer. I redrew my tangent line, and took another slope and I ended up getting an answer extremely close to that, so my tangent line was just off before. Only problem is now, I have to do this again for t=4s. I have, once again, exhausted most of my attempts trying to get the correct answer. What am I doing wrong?? Here is my tangent line for t=4:
Physicsproblem22.png


I am getting a slope around 80m/s. Is my tangent line really that off?

Thank you so much for your help!
 
chinnie15 said:
Thanks!

67 m/s ended up being the correct answer. I redrew my tangent line, and took another slope and I ended up getting an answer extremely close to that, so my tangent line was just off before. Only problem is now, I have to do this again for t=4s. I have, once again, exhausted most of my attempts trying to get the correct answer. What am I doing wrong?? Here is my tangent line for t=4:
Physicsproblem22.png


I am getting a slope around 80m/s. Is my tangent line really that off?

Thank you so much for your help!
That's at t = 4 seconds !
 
I know that. :) This is for the second question, which is for the velocity at t = 4s. The first question was t = 2s. I got that answer for t = 2s correct now, it was 67 m/s. But now I can't get the correct answer for t = 4s.
 
chinnie15 said:
I know that. :) This is for the second question, which is for the velocity at t = 4s. The first question was t = 2s. I got that answer for t = 2s correct now, it was 67 m/s. But now I can't get the correct answer for t = 4s.
How do you figure that slope to be 80 ?

It's much more like ≈250/2 = 125
 

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