Scalar and Vector Quantities

• Scalar quantities only have magnitude (numbers, no direction)

• Vector quantities have both magnitude and direction (north)

Vectors can be visually modeled using arrows

• The length of the arrow indicates the magnitude of the vector

• The direction of the arrow represents the direction of the vector

• The length of the arrows must be proportional to their magnitudes

Scalar: Distance, speed, mass, energy, temperature, power

Vector: Position, displacement, velocity, acceleration, weight, force, momentum.

Distance

• Distance is a measure of how far an object travels with no direction

• Therefore, a Scalar quantity.

Displacement

• A measure of how far the object travels from its initial position in a given direction.

Speed

• Distance traveled per unit time

• S=d/t

• Scalar quantity

Velocity

• The rate of change of displacement

• Speed in a given direction

• v=d/time

Mass

• Measure of the amount of matter in an object

• Scalar quantity

Weight

• The gravitational force exerted on an object with mass

• Vector quantity

• Depending on gravity

• w=m*g

Vector

• Vectors are given a specific notion with an arrow above the symbol

      v→=v0+at

• v = velocity, m/s

• v0=initial velocity

• a=accelration

• t=time

        |v| means the magnitude of a vector quantity, which means there is a value corresponding.

A^→

A vector in one dimension is like the x-axis,

left = negative and right = positive