Motion in two and three dimensions

Now that we've learned about motion in one dimensions and about vectors, we can combine these ideas to understand motion in more than one dimension. We'll apply this to motion of projectiles. The name projectiles does not necessarily simply that you're dealing with some ghastly military device such as a cannon ball. It's just a general term, to describe anything moving freely through the air, such as a piano.

So we'll follow much the same path we did for motion in one dimension, defining velocity and acceleration in higher dimension.

• Definition of velocity
  • The average velocity
  • The instantaneous velocity
• Definition of acceleration
  • Average acceleration
  • Instantaneous acceleration
• Circular motion
  • Question
    • Answer:
• Motion with constant acceleration
  • Application to free fall
    • The shape of the trajectory
    • The range of a projectile
    • The maximum height of a projectile
  • Example: The Monkey and Z
    • Solution
• Motion in different reference frames
  • Cycloidal motion