Physics Chapter 3 - Vectors

Projectile motion

2 dimensional motion- things moving in more than a straight line. I.e., vectors move in those 2 dimensions (long jumpers velocities=vertical AND long dimensions

Properties of vectors (3)

Added to each other in any order

Resolving components

Components get combined for resultant vector (use sin & cos rules for geometry--magnitude of resultant vector & angle)

Properties of vectors (2)

End up being parallel ( like city blocks- shaker & woodland)

Relative motion

Projectiles are objects thrown or launched into air, subject to gravity (balls-baseball, football, etc)

Parabolas

Projectiles that follow parabolic curves (like throwing a football) {not factoring air resistance for this class)

Scalar

Quantity that has a magnitude BUT NO direction

Vector

Quantity that has magnitude AND a direction (v)

SOH CAH TOA

Sin 0=opposite/hypotenuse Cos 0=adjacent hypotenuse Tan 0=opposite/adjacent

Resultant vectors

Sum of 2 or more vectors (green-resultant vector; black regular vectors)

Finding angle using 2 sides

Take the arch of the function (sin-1 , cos-1, tan-1) {exponents}

Vector operations (1)

Use coordinate system for 2-dimensional motion

Calculator mode

Use degrees not radians

Properties of vectors (1)

Use of angles created by ruler/protractor

Solving relative motion problems

Use subscripts of objects; if passing use vector opposite of vector you are heading in; if being passed take your vector apply as opposite from that vector passing you

Properties of vectors (5)

When multiplying/dividing vectors by a scalar quantity, results are in vectors

Properties of vectors (4)

When subtracting, want to add opposite

Vector operations (2)

Instead of graphing, Pythagorean theory (A squared +B squared= C squared

Frame of reference (relative motion)

How somebody views the situation