Measures the distance apart between two points and specifies their direction
Speed
The rate at which distance travelled changes with time
Velocity
The rate of change of displacement with time
Average speed
Total distance travelled divided by total time taken
Average velocity
Total displacement divided by total time taken
Rate of change of speed
Final speed - initial speed divided by time taken
Rate of change of speed
Measured in metres per second squared
Rate of change of speed has no direction since speed has no direction
Calculating average speed when rate of change of speed is constant
Initial speed + final speed divided by two
Acceleration
The rate of change of velocity with time
Scalar
A physical quantity that has magnitude but not direction
Vector
A physical quantity that has both magnitude and direction
Gradient of a distance-time graph
Represents an object's speed
Gradient of a speed-time graph
Represents an object's rate of change of speed
Area between a speed-time graph and the time axis
Represents the distance moved
Gradient of a displacement-time graph
Represents an object's velocity
Gradient of a velocity-time graph
Represents an object's acceleration
Area between a velocity-time graph and the time axis
Represents the displacement
Balanced forces
When there is no resultant force on an object
Unbalanced forces
When there is a resultant force causing an acceleration
Mass
Measured in kg and shows the amount of matter in an object
Weight
The force of gravity on an object
Acceleration of free fall
The acceleration of an object toward the surface of the earth when the only force on it is the gravitational force
Gravitational field strength
The gravitational force in an object of mass one kilogram close to the surface of a planet
Hooke's law
The extension is directly proportional to the applied load, up to a limit known as the limit of proportionality
Natural length
The length of a spring when no stretching or compressing forces are applied
Extension
The difference between the stretched length of a spring and its natural length
Centre of gravity
The point through which the entire weight of a body appears to act
Equilibrium
A state in which opposing forces or moments are balanced
Neutral equilibrium
A state in which slight displacement causes the object neither to move very far from its original position
Stable equilibrium
A state in which slight displacement causes the object to return to its original position
Moment about a point
The product of a force and its perpendicular distance from the point
The principle of moments states that when a lever is balanced, the sum of the clockwise moments about any point equals the sum of the anticlockwise moments about the same point
Density
The mass of an object divided by its volume
Kinetic theory
Explains the properties of solids, liquids and gases according to the arrangement and motion of their molecules