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2-Dimensional Motion
     Horizontal                Vertical

                                 What affects
                                 the ball?
The only thing to affect
                                 Gravity! (No
the ball is friction, and we
                                 friction)
don’t look at that!
                                 g = -9.8m/s2
 Velocity is always
constant!
Combine   Horizontal and Vertical
          components are independent!
the two
            (They don’t affect each
            other. It doesn’t matter
            how fast the object is going
            in the x direction, gravity
            still acts evenly on the
            object in the y direction.
          So … all these problems are 2
          problems: one problem in the
          y direction, one problem in the
          x direction.
          time is what combines the two.
Type I: An object is dropped
starting at rest from a vertical
             height

 Notice the
 object has only
 vertical velocity
 which gradually
 increases.
Type II: Object has a horizontal
     velocity before it falls.

It travels
Horizontally
and
Vertically as
it falls.
Type III: A perfect parabola


Notice
the x
vector
never
changes
size but
the y
vector
does.
Type III Continued: Perfect
            Parabola
The object
leaves the
ground and
lands at the
same level.

The y velocity
is zero at the
top of the arc.
Type IV: An object is launched at
 an angle from a vertical height.

  Rules: The
   x velocity will
  never change.

  The Vy at the
  top is still zero.

  The final velocity is greater than the initial
  Velocity.
Some vocabulary terms:

3.Projectile: anything that flies through air.

   Could be a ball, dart, bullet, person, etc.

7.Trajectory: the path a projectile takes.

     Could be a parabola, or an arc, etc.

11.Parabolic shape: the shape of a parabola.

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Ch3 2-d kinematics notes

  • 1. 2-Dimensional Motion Horizontal Vertical What affects the ball? The only thing to affect Gravity! (No the ball is friction, and we friction) don’t look at that! g = -9.8m/s2 Velocity is always constant!
  • 2. Combine Horizontal and Vertical components are independent! the two (They don’t affect each other. It doesn’t matter how fast the object is going in the x direction, gravity still acts evenly on the object in the y direction. So … all these problems are 2 problems: one problem in the y direction, one problem in the x direction. time is what combines the two.
  • 3. Type I: An object is dropped starting at rest from a vertical height Notice the object has only vertical velocity which gradually increases.
  • 4. Type II: Object has a horizontal velocity before it falls. It travels Horizontally and Vertically as it falls.
  • 5. Type III: A perfect parabola Notice the x vector never changes size but the y vector does.
  • 6. Type III Continued: Perfect Parabola The object leaves the ground and lands at the same level. The y velocity is zero at the top of the arc.
  • 7. Type IV: An object is launched at an angle from a vertical height. Rules: The x velocity will never change. The Vy at the top is still zero. The final velocity is greater than the initial Velocity.
  • 8. Some vocabulary terms: 3.Projectile: anything that flies through air. Could be a ball, dart, bullet, person, etc. 7.Trajectory: the path a projectile takes. Could be a parabola, or an arc, etc. 11.Parabolic shape: the shape of a parabola.