How Do You Determine Acceleration from a Velocity vs Time Graph?

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SUMMARY

To determine acceleration from a velocity vs time graph, one must calculate the slope of the graph. In this case, the slope is given as 4, which directly represents the acceleration. The formula for acceleration is derived from the gradient of the graph, expressed as Change in Velocity divided by Change in Time. Therefore, if the slope is 4, the acceleration is definitively 4 m/s².

PREREQUISITES
  • Understanding of basic physics concepts, specifically kinematics.
  • Familiarity with graph interpretation, particularly velocity vs time graphs.
  • Knowledge of slope calculation in mathematical terms.
  • Basic algebra skills for manipulating equations.
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  • Study the principles of kinematics in physics.
  • Learn how to interpret different types of motion graphs.
  • Explore the relationship between acceleration, velocity, and time in various contexts.
  • Practice calculating slopes from various graphs to reinforce understanding.
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High school physics students, educators teaching kinematics, and anyone looking to improve their understanding of motion graphs and acceleration calculations.

hasan_17
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Okay so I am in gr.11 physics and I did the velocity vs time graph and my slope is 4.

what do i do for the acceleration ?

i suck at physics lol!
 
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Welcome to PF!

You need to post questions like this in Homework normally.

On your velocity vs time graph, time is on the x-axis and velocity is on the y-axis.

Gradient = y / x = Change in Velocity / Time = Acceleration.
 

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