Help with qualitatively graphing velocity from a postion time graph

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SUMMARY

This discussion focuses on qualitatively graphing velocity from a position-time graph using the formula v = ds/dt. It establishes that the velocity corresponds to the slope of the position-time graph. A zero slope indicates zero velocity, a constant slope signifies constant velocity, and an increasing slope denotes acceleration. These principles are fundamental in understanding motion in physics.

PREREQUISITES
  • Understanding of basic calculus, specifically derivatives
  • Familiarity with graphing concepts and slope interpretation
  • Knowledge of kinematics and motion equations
  • Ability to analyze position-time graphs
NEXT STEPS
  • Study the relationship between position, velocity, and acceleration in kinematics
  • Learn how to derive velocity from position-time graphs using calculus
  • Explore graphical representations of motion in physics
  • Investigate real-world applications of velocity analysis in various fields
USEFUL FOR

Students studying physics, educators teaching motion concepts, and anyone interested in understanding the graphical representation of velocity and acceleration.

N. Thomas
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I need help with qualitatively graphing velocity from a postion time graph
 
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v = ds/dt
the velocity is the slope of s-t graph
If the slope is zero, velocity is zero.
If slope is constant, velocity is constant
If slope is increasing, velocity is increaing, i.e. accelerating.
 

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