Instantaneous Velocity: drag racing problem

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SUMMARY

The discussion centers on estimating instantaneous velocity for a drag racing problem involving a "funny car." At 2.0 seconds, the correct velocity is determined to be 67 m/s after adjusting the tangent line for accuracy. For 4.0 seconds, participants are struggling to achieve the correct slope, with estimates varying significantly, including a reported 80 m/s. The key takeaway is the importance of accurately drawing tangent lines on position-versus-time graphs to determine instantaneous velocity.

PREREQUISITES
  • Understanding of instantaneous velocity and tangent lines
  • Familiarity with position-versus-time graphs
  • Basic knowledge of slope calculation in physics
  • Experience using Mastering Physics software for problem-solving
NEXT STEPS
  • Practice drawing tangent lines on various position-versus-time graphs
  • Learn how to calculate slopes accurately for different segments of a curve
  • Explore the concept of instantaneous velocity in calculus
  • Review common pitfalls in using educational software like Mastering Physics
USEFUL FOR

Students studying physics, particularly those focusing on kinematics and instantaneous velocity, as well as educators looking to enhance their teaching methods in graph interpretation.

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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