Vectors and Two Dimensional motion Chapter 3 Vectors and Two Dimensional motion

Vectors and their Properties Vector Quantity: Has both magnitude and direction (e.g. velocity) Scalar Quantity: Has magnitude (e.g. speed)

Vectors and their Properties Adding Vectors They must have the same units Vectors can be added geometrically or algebraically

Vectors and their Properties Geometric addition Head to tail

Vectors and their Properties Geometric addition Head to tail

Vectors and their Properties Geometric addition

The magnitude of a resultant vector can be calculated from its components by using the Pythagorean Theorem The angle of a resultant vector can be calculated from its components by using the trigonometric function, inverse tangent

A vector can be resolved into components by using the base angle and the trigonometric functions (sine, cosine)

Motion in two dimensions Projectiles After some sort of initial input, to get them moving, they are only acted upon by gravity What would be another way of describing them?

Motion in two dimensions Projectiles

Motion in two dimensions Projectiles

Motion in two dimensions Projectiles In order to perform calculations of projectiles, resolve the vector into x and y dimension components. Acceleration only takes place in the vertical, y-dimension Use the y-dimension to calculate the time to the high point. Use that time to calculate other things, e.g. time of flight, max height (y) and displacement (x)

Motion in two dimensions Projectiles After some sort of initial input, to get them moving, they are only acted upon by gravity What would be another way of describing them?