Determine acceleration from position vs time graph

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SUMMARY

The discussion focuses on determining acceleration from a position vs. time graph of a projectile. The user calculated instantaneous velocities at key points: the first half height, the climax, and the second half height, then created a velocity vs. time graph. However, the user encountered issues with calculating acceleration from the slope of the velocity graph, indicating a misunderstanding of the relationship between these graphs.

PREREQUISITES
  • Understanding of kinematics, specifically projectile motion
  • Knowledge of graph interpretation, particularly position vs. time and velocity vs. time graphs
  • Familiarity with the concept of instantaneous velocity
  • Basic calculus principles related to slopes of graphs
NEXT STEPS
  • Study the relationship between position, velocity, and acceleration in projectile motion
  • Learn how to accurately calculate instantaneous velocity from a position vs. time graph
  • Explore the derivation of acceleration from a velocity vs. time graph
  • Review examples of common mistakes in interpreting motion graphs
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in mastering graph analysis in motion problems.

Momentum09
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Hi,
I was given a position vs. time graph of a projectile. I estimated the instantaneous velocity at the first 1/2 height, climax, and the second 1/2 height. From these slopes I created a velocity vs. time graph and use the slope of this line for my acceleration, but I keep getting this problem wrong.

Thanks!
 
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