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Systems With Constant Acceleration

Constant Acceleration Equations: Part 1

Here we use our techniques developed in going from acceleration to position using integration to derive a set of equations we can use to solve problems when the acceleration is constant.

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Constant Acceleration Equations: Part 2

Here we use substitution to derive two new equations. It is important to realize that these are not independent from the equations derived in the previous video. Thus, even though there are four equations derived here, only two unkowns can be solved for.

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Uniform Motion

Uniform motion is a special case of constant acceleration. The acceleration is constant and zero. This video takes some extra time to talk about some perspective in looking at equations.

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Exercises

Solutions

Worked Examples

Bob is a slow and fat physics professor that runs at a top speed of 6 m/s when chased by a velociraptor running at a top speed of 31 m/s. If Bob has a 100 m head start, how far does he get before he is caught and devoured?
A pitcher accelerates a ball from rest to 45 m/s over a distance of 1.5 m. Assuming the acceleration is constant, what is the acceleration and how long did it take?
A ball is thrown up at the same time another is dropped above it. They collide when the thrown ball has twice the speed of the dropped ball. Where do they collide?
Stopping distance: using algebriac methods A car moving at 30 m/s has a minimum stopping distance of 60 m. This includes a reaction time of the driver of 0.5 seconds. What is the stopping distance for the same car and driver moving at 45 m/s?
Stopping distance: using graphical methods A car moving at 30 m/s has a minimum stopping distance of 60 m. This includes a reaction time of the driver of 0.5 seconds. What is the stopping distance for the same car and driver moving at 45 m/s?