Physics
Two-dimensional motion
You understand velocity and acceleration well in one-dimension. 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.
Two-dimensional projectile motion
Let's escape from the binds of one-dimension (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.
- Visualizing Vectors in 2 Dimensions
- Projectile at an Angle
- Different Way to Determine Time in Air
- Launching and Landing on Different Elevations
- Total Displacement for Projectile
- Total Final Velocity for Projectile
- Correction to Total Final Velocity for Projectile
- Projectile on an Incline
- Unit Vectors and Engineering Notation
- Clearing the Green Monster at Fenway
- Green Monster at Fenway Part 2
- Unit Vector Notation
- Unit Vector Notation (part 2)
- Projectile Motion with Ordered Set Notation
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.
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 super-fun topic.