Vector quantity
A quantity with magnitude and direction
Scalar quantity
A quantity with magnitude only
Examples of vector quantities
Displacement, velocity, acceleration, force and weight
Examples of scalar quantities
Distance, speed, time, mass and energy
Difference between a vector and a scalar
Vectors have magnitude and direction; scalars have magnitude only
Speed
Distance travelled per second
Velocity
Displacement travelled per second
Distance
Total path length travelled by an object
Displacement
The straight-line distance and direction from where you started to where you finished.
How to find resultant of two vectors in one dimension.
Add if in same direction; subtract if in opposite directions.
How to find resultant of two vectors at right angles
Use Pythagoras: resultant = √a²b²
Relationship between speed, distance and time
distance = speed x time
d = vt
Relationship between velocity, displacement and time
displacement = velocity x time
s = vt
How is average speed or velocity shown in a relationship?
v̄
Calculating average speed
average speed = distance/time
v̄ = d/t
Measuring average speed
Measure total distance travelled and total time taken.
Calculating average velocity
average velocity = displacement/time
v̄ = s/t
Measuring instantaneous speed with a light gate
Instantaneous speed = length of card ÷ time through light gate