How do I graph the position for this velocity-time graph?

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SUMMARY

The discussion focuses on calculating the position from a given velocity-time graph with specific intervals. Between t = 0 seconds and t = 2 seconds, the velocity is constant at 3 m/s, resulting in a linear position increase. From t = 2 seconds to t = 6 seconds, the velocity changes to -2 m/s, indicating a decrease in position. The correct approach involves using the equation Position = velocity * dt, applying it to each time interval, and recognizing that the slope of the velocity graph represents the rate of change in position.

PREREQUISITES
  • Understanding of basic kinematics concepts
  • Familiarity with velocity-time graphs
  • Knowledge of integration and differentiation in physics
  • Ability to apply the equation Position = velocity * dt
NEXT STEPS
  • Study the application of the suvat equations for constant acceleration
  • Learn how to interpret and analyze velocity-time graphs
  • Explore the concept of displacement and its calculation
  • Practice problems involving piecewise constant velocity
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Students studying physics, particularly those focusing on kinematics, as well as educators looking for examples of velocity-time graph analysis.

Sarah R.
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Homework Statement


Between t = 0 seconds to t = 2 seconds the velocity is 3 m/s ihat. Between t = 2 seconds and t = 6 seconds the velocity is -2 m/s ihat. I need to know what the position is at each second.

Homework Equations


Position = velocity * dt

The Attempt at a Solution


I know that the position for the first 2 seconds is a linear line with a slope of 3 m/s. But I'm not sure about the position for t = 2 seconds through t = 6 seconds.
 
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The velocity is the slope of the line.
You know the position at t=2s, and you know the slope... so use a ruler.
If you get confused... the velocity is the amount the position changes by in one second.
Between 2 and 3 seconds, what is the velocity?

Your equation is incorrect: if displacement is s, then ds = v.dt
For constant acceleration a this turns into the suvat equations.
 

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