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Disclaimer
Disclaimer
This set of videos belongs to physicshelp.ca YT channel by Mark Caruana-Dingli. The videos have been placed here for educational purposes only, specifically to be presented in order and to ease the student access.
I want to express my gratitude to Mr Morin and Mr Caruana for creating these high quality videos and making them accessible free of charge.
Distance vs Time Graphs
Distance vs Time Graphs
Takeaways:
The slope of the d(t) line represents velocity.
Takeaways:
If the slope is zero, position of the object does not change in time - the object is at rest.
A positive slope means that the velocity vector has in the same direction as motion
A negative slope means that the object is moving backward. Minus in front of velocity value represents the direction.
Takeaways:
the slope of a tangent line at a given time value on a d(t) graph gives instantaneous velocity
Velocity vs Time Graphs
Velocity vs Time Graphs
Takeaways:
The slope of the v(t) line represents acceleration.
An important differentiation is that the slope of a line connecting two points on a v(t) graph gives average acceleration, while the slope of a tangent line at a given time value on a v(t) graph gives instantaneous acceleration.
Takeaways:
If the slope is zero, velocity of the object does not change in time - we have uniform motion.
A positive slope means that the acceleration is in the positive direction. So, if velocity was positive, an object accelerates. But if the velocity was negative and a positive acceleration is applied that means that the abject slows down.
A negative slope means that the acceleration is opposite to the velocity vector - an object it slowing down.
This interpretation may be a bit tricky, so let's review it once again. In Figure 1, at t = 0 s, velocity is negative and acceleration is positive. So acceleration is "against" velocity; thus, an object slows down. At t = 2 s, the velocity is a zero. From that point, velocity increases in a positive direction.
Summarizing, between t = 0 s and t = 4 s, the object was moving to the left, slowed down, stopped, and started moving to the right with the increasing velocity.
You may notice that the absolute value of velocity, represented in the graph by how far is the lie from horizontal axis, represents speed.
Takeaways:
Area under the v(t) graph represents distance and displacement.
To find the distance, calculate the areas and add the results.
To find the displacement, calculate the areas. Add areas above the horizontal axis and subtract the areas below horizontal axis.
This is a great summary on how to find distance and displacement from the v(t) graph.
Acceleration vs Time Graphs
Acceleration vs Time Graphs
Comparison of graphs
Comparison of graphs
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