Vector addition and projectile motion quiz

Secalar

qualities that are specified completely by a number and units (DISTANCE)

Vector

a line/quality that has direction and Magnitude (DISPLACEMENT, FORCE AND MOMENTUM)

Adding vectors if they are in the same direction

Dr = D1 + D2

• MAGNITUDE

Adding vectors if they AREN’T in the same direction (perpendicular)

Pythagorean Theorem

• Dr = Sqrt root(D1² +D2²)

• MAGNITUDE

Adding vector methods (2 types)

1) TIP-TO-TAIL METHOD

2) PARALLELOGRAM METHOD

Components

An individual part of a larger physical quantity (a vector) 

Sin ø =

Vy =

Vy/V

V Sin ø

Cosø =

Vx = 

Vx/V

VCosø

Tan ø =

Vy/Vx

• DIRECTION

Addition of any vector 

VrX = V1X + V2X

VrY = V1Y + V2Y

Projection Motion

The general motion of objects moving through their in 2 dimensions near the Earth’s surface

Horizontal and vertical components of velocity and acceleration

TREATED SEPERATELY

Vertical Velocity

Vertical Position

Vy= -gt

y= -1/2gt²

Projectile Motion Eqs

1) ∆X=VoT+1/2at²

2) ∆X=VoT HORIZONTAL DISPLACEMENT

3) Vf² = Vo²+2a∆X

4) Vf = Vo + at

5) ∆X = ((V+ Vf)/2 ) t

Relative Velocity 

How different observers in various frames of reference perceive the speed and direction of moving objects

• VBS = VBW+VWS

OTHER EQUATIONS TO KNOW

1) T= (2vo)/g

2) Range max (45) = Vo/g

3) V avg = ∆X/∆t

4) A avg =∆V/∆t