Instantaneous Velocity: drag racing problem

AI Thread Summary
The discussion centers on estimating instantaneous velocity from a position-versus-time graph of a drag racer. Initially, the estimated velocity at 2.0 seconds was around 50 m/s, but after redrawing the tangent line, the correct answer was determined to be 67 m/s. The user then faced challenges calculating the velocity at 4 seconds, initially estimating it at 80 m/s, but others suggested a more accurate slope calculation of approximately 125 m/s. The importance of accurately drawing the tangent line to determine the slope is emphasized throughout the discussion. Overall, the conversation highlights the difficulties in applying graphical analysis to calculate instantaneous velocity in a drag racing context.
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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