Khan Academy on a Stick
Twodimensional motion
You understand velocity and acceleration well in onedimension. Now we can explore scenarios that are even more fun. With a little bit of trigonometry (you might want to review your basic trig, especially what sin and cos are), we can think about whether a baseball can clear the "green monster" at Fenway Park.

Visualizing Vectors in 2 Dimensions
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Visualizing, adding and breaking down vectors in 2 dimensions

Projectile at an Angle
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Figuring out the horizontal displacement for a projectile launched at an angle

Different Way to Determine Time in Air
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Another way to determine time in the air given an initial vertical velocity

Launching and Landing on Different Elevations
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More complicated example involving launching and landing at different elevations

Total Displacement for Projectile
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Reconstructing the total displacement vector for a projectile

Total Final Velocity for Projectile
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Calculating the total final velocity for a projectile landing at a different altitude (mistake near end: I write 29.03 when it should be 26.03 m/s and the final total magnitude should be 26.55 m/s 78.7 degrees below horizontal

Correction to Total Final Velocity for Projectile
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Correction to "Total Final Velocity for Projectile" Video

Projectile on an Incline
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Challenging problem of a projectile on an inclined plane

Unit Vectors and Engineering Notation
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Using unit vectors to represent the components of a vector

Clearing the Green Monster at Fenway
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Setting up the problem to determine the minimum velocity to hit a ball with to clear the Green Monster

Green Monster at Fenway Part 2
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Solving the problem to determine the minimum velocity to hit a ball with to clear the Green Monster

Unit Vector Notation
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Expressing a vector as the scaled sum of unit vectors

Unit Vector Notation (part 2)
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More on unit vector notation. Showing that adding the x and y components of two vectors is equivalent to adding the vectors visually using the headtotail method

Projectile Motion with Ordered Set Notation
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Solving the second part to the projectile motion problem (with wind gust) using ordered set vector notation
Twodimensional projectile motion
Let's escape from the binds of onedimension (where we were forced to launch things straight up) and start launching at angles. With a little bit of trig (might want to review sin and cos) we'll be figuring out just how long and far something can travel.

Optimal angle for a projectile part 1
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Optimal angle for a projectile part 2  Hangtime
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Optimal angle for a projectile part 2  Hangtime

Optimal angle for a projectile part 3  Horizontal distance as a function of angle (and speed)
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Horizontal distance as a function of angle (and speed)

Optimal angle for a projectile part 4 Finding the optimal angle and distance with a bit of calculus
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Optimal angle for a projectile
This tutorial tackles a fundamental question when trying to launch things as far as possible (key if you're looking to capture a fort with anything from water balloons to arrows). With a bit of calculus, we'll get to a fairly intuitive answer.

Race Cars with Constant Speed Around Curve
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When acceleration could involve a change in direction and not speed

Centripetal Force and Acceleration Intuition
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The direction of the force in cases of circular motion at constant speeds

Visual Understanding of Centripetal Acceleration Formula
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Visual understanding of how centripetal acceleration relates to velocity and radius

Calculus proof of centripetal acceleration formula
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Proving that a = v^2/r

Loop De Loop Question
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Asks students to find the minimum speed necessary to complete the loop de loop

Loop De Loop Answer part 1
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Figuring out the minimum speed at the top of the loop de loop to stay on the track

Loop De Loop Answer part 2
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Figuring out the car's average speed while completing the loop de loop
Centripetal acceleration
Why do things move in circles? Seriously. Why does *anything* ever move in a circle (straight lines seem much more natural). ? Is something moving in a circle at a constant speed accelerating? If so, in what direction? This tutorial will help you get mind around this superfun topic.