The total distance travelled divided by total time taken
A speedometer doesn't show the average speed because the speed of the car changes from instant to instant, it only shows the instantaneous speed of the car
Average speed
The mean speed of the vehicle throughout a given period of time
Distance = Speed x Time
D/S/T triangle for rearranging equation
Speed conversion
Speed given in (m/s) can be converted to (km/h) by multiplying by 3.6
Distance-time graph
Slope/gradient indicates the velocity - the steeper the slope, the quicker the car
Curve means the car is either accelerating or decelerating
Displacement-time graph
Shows the distance travelled in a given direction (m)
Diagonal slope - moving
Horizontal line - constant speed
Negative diagonal slope - returning to starting point
Displacement
A vector quantity
Velocity
A vector quantity with magnitude and direction, measured in (m/s)
Average velocity
Calculated using displacement and time taken, measured in (m/s)
Acceleration
The rate at which velocity changes, measured in (m/s)²
Velocity-time graph
Horizontal line - constant speed
Negative gradient - deceleration
Steep gradient - high acceleration
Shallow gradient - low acceleration
Area under graph - distance travelled
Area of triangle = 1/2 base x height, area of trapezium = 1/2 (a+b) x height
Force
A vector quantity, the push or pull of one body on another, measured in newtons
Types of forces
Weight (gravitational force)
Friction
Air resistance
Upthrust
Reaction force
Normal contact force
Water resistance
Thrust
Friction
The force that causes moving objects to slow down and stop, transfers kinetic energy to heat
Resultant force
The vector sum of two or more forces acting on an object
Balanced forces
Forces acting on an object are equal in size and opposite in direction
Unbalanced forces cause an object to change its motion
Newton's second law
F=ma, force equals mass times acceleration
Weight
The force of gravity acting on an object, calculated as mass times gravitational field strength
Mass
The amount of matter an object is made up of, does not change with gravitational field strength
Air resistance (drag)
The force that acts against anything moving through air, depends on shape and speed
Terminal velocity
The maximum speed a falling object can reach when the upward drag force exactly balances the downward weight force
Measuring average speed
Use equipment to measure distance and time, repeat 3 times and take the average
Improving measurement accuracy
Use fiducial markers, avoid parallax, use finer calibrations, repeat measurements
Dependent variable
Its value depends on changes in the independent variable, measured on the y-axis
Independent variable
Its value is independent of other variables, what is changed in the experiment, measured on the x-axis
Hooke's law investigation
Measure original spring length, add masses, measure extension, plot graph to check linearity and origin passing
Hooke's law
Force is directly proportional to extension, linear graph passing through origin
Limit of proportionality - point where spring stops obeying Hooke's law
Elastic limit - maximum extension before permanent deformation
Hooke's law does not apply to rubber bands, the force is not directly proportional to extension
Turning effect (moment)
Force x perpendicular distance from pivot, greater distance increases turning effect
Balanced objects
No resultant force, clockwise moment = anticlockwise moment
Centre of gravity
The average location of the weight of an object, the weight force acts through this point
Stability
Measure of how likely an object is to topple over, depends on centre of gravity position and base width
Center of gravity
The point at which the weight of an object is concentrated
When an object is pivoted through its center of gravity, it will be balanced if there are no other forces other than the weight of the object because the mass of the object is equally spread out through its length
The weight force acts through the center of gravity
When an object is not pivoted through its center of gravity, the weight will produce a turning effect
Stability
A measure of how likely it is for an object to topple over when pushed or moved
The position of the center of gravity will affect stability