2D Motion Flashcards
What is Motion in Two Dimensions?
Movement of a body in a plane.
What is a plane?
An infinite two dimensional surface.
How can Two Dimensional motion be described?
Two dimensional motion can be described with two X and Y components of position, velocity and acceleration.
What is the magnitude of velocity?
The speed.
What is a projectile?
An object that travels both vertically and horizontally simultaneously.
What is a trajectory?
Path followed by a projectile.
What is projectile motion?
A combination of unaccelerated X direction motion and free fall.
Do the X and Y components depend on each other?
X and Y components are completely independent of each other.
What is the acceleration in the Y direction due to?
Gravity.
What is the Range?
Maximum horizontal distance covered by a projectile.
What is the Maximum Height?
Maximum vertical distance travelled by a projectile.
What is the X Direction equation for initial velocity with an angle?
V(0)x = V(0) x Cos (-)
What is the Y Direction equation for initial velocity with an angle?
V(0)y = V(0) x sin (-)
The four Equations along X Directions?
- X = V(0)x (t)
- 🔺X= V(0)x (t) + 1/2a(x) (t)^2
- V(x)^2 = V(0)x^2 + 2a(x)🔺X
- V(x) = V(0)x + a(x) (t)
3 equations of motion along Y direction?
- 🔺Y= V(0)y (t) - 1/2gt^2
- V(y)^2 = V(0)y^2 - 2g🔺Y
- V(y) = V(0)y - gt
The angle that the velocity vector makes with the X-axis is given by…?
(-) = tan^-1 (Vy/Vx)
Formula for the Range?
R = V(0)^2 x sin (-)/g
Formula for Maximum Height?
H max = V(0)^2 x sin^2 (-)/2g
Hierarchy of Findings? (What to look for first)
- Initial Velocity
- Time in the air
- Displacement
What is time in the air dependent on?
Only the Y direction.
What statement about Time in the air of a free falling object and a projectile falling from the same height?
Time in the air for any projectile regardless of what happens to it is dependent on the vertical velocity and forces acting on it.
