2D Motion

Question 1

What is Motion in Two Dimensions?

Answer 1

Movement of a body in a plane.

Question 2

What is a plane?

Answer 2

An infinite two dimensional surface.

Question 3

How can Two Dimensional motion be described?

Answer 3

Two dimensional motion can be described with two X and Y components of position, velocity and acceleration.

Question 4

What is the magnitude of velocity?

Answer 4

The speed.

Question 5

What is a projectile?

Answer 5

An object that travels both vertically and horizontally simultaneously.

Question 6

What is a trajectory?

Answer 6

Path followed by a projectile.

Question 7

What is projectile motion?

Answer 7

A combination of unaccelerated X direction motion and free fall.

Question 8

Do the X and Y components depend on each other?

Answer 8

X and Y components are completely independent of each other.

Question 9

What is the acceleration in the Y direction due to?

Answer 9

Gravity.

Question 10

What is the Range?

Answer 10

Maximum horizontal distance covered by a projectile.

Question 11

What is the Maximum Height?

Answer 11

Maximum vertical distance travelled by a projectile.

Question 12

What is the X Direction equation for initial velocity with an angle?

Answer 12

V(0)x = V(0) x Cos (-)

Question 13

What is the Y Direction equation for initial velocity with an angle?

Answer 13

V(0)y = V(0) x sin (-)

Question 14

The four Equations along X Directions?

Answer 14

1. X = V(0)x (t)
2. 🔺X= V(0)x (t) + 1/2a(x) (t)^2
3. V(x)^2 = V(0)x^2 + 2a(x)🔺X
4. V(x) = V(0)x + a(x) (t)

Question 15

3 equations of motion along Y direction?

Answer 15

1. 🔺Y= V(0)y (t) - 1/2gt^2
2. V(y)^2 = V(0)y^2 - 2g🔺Y
3. V(y) = V(0)y - gt

Question 16

The angle that the velocity vector makes with the X-axis is given by…?

Answer 16

(-) = tan^-1 (Vy/Vx)

Question 17

Formula for the Range?

Answer 17

R = V(0)^2 x sin (-)/g

Question 18

Formula for Maximum Height?

Answer 18

H max = V(0)^2 x sin^2 (-)/2g

Question 19

Hierarchy of Findings? (What to look for first)

Answer 19

1. Initial Velocity
2. Time in the air
3. Displacement

Question 20

What is time in the air dependent on?

Answer 20

Only the Y direction.

Question 21

What statement about Time in the air of a free falling object and a projectile falling from the same height?

Answer 21

Time in the air for any projectile regardless of what happens to it is dependent on the vertical velocity and forces acting on it.