Apidays New York 2024 - Accelerating FinTech Innovation by Vasa Krishnan, Fin...
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.