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What are the two ways that a vector can be described?
- Magnitude and angle
- Components (X and Y)
- A+B = C
- Components: Ax+Bx = Cx , Ay+By = Cy
- Graphically: graphing from head to tail
- A-B = C
- Components: Ax-Bx = Cx , Ay-By = Cy Graphically: graphing from head to head
When adding vectors (componently), a vector with magnitude V making an angle θ with the x axis has what components?
Given the components, what is the vector's magnitude and direction?
- Vx = Vcosθ, Vy = Vsinθ
- V = √(V2x+V2y), tanθ = Vy/Vx
Projectile Motion - information without equations
- Break down into two motions (X and Y) which are completely independent of eachother.
- The Y motion has acceleration of -g
- The X motion has no acceleration!
Projectile Motion - equations based on components
- y = y0+V0yt-1/2gt
- Vy = V0y-gt
- Vy2-Vy02 = -2gΔy
- x = x0+V0xt
- Vx = V0x
How do an object dropped horizontally and thrown vertically compare? Why?
They will both land at the same time, because the ONLY acceleration acting on both is -g. It may start with V, but NOT ACCELERATE
What is relative velocity? How is it used practically?>
- Relative velocity is a reference to moving in/on something that is already in motion.
- Ex - walking 4m/s backwards on a train moving 8m/s forward
- Depending on which reference you are using the net velocity will be different!