In the IGCSEs, we use metric units. Hence, always use m/s
Distance-time graphs
Indicate how much a vehicle has travelled within a given interval
The gradient (slope) of distance-time graphs indicates speed
Speed
= distance / time
The steeper the gradient
The higher the speed
Types of distance-time graphs
Graph (a) has zero speed
Graph (b), Object A has a higher speed than Object B
Graph (c), speed is increasing
Graph (d), speed is decreasing
Graph (e), speed is constant
Vector quantities
Have both magnitude as well as direction
Displacement
Distance but with a particular direction
Velocity
Speed with a particular direction
Average velocity
Increase in displacement / time taken
Acceleration
Rate of change of velocity
Velocity-time graphs
Indicate the velocity of a particle within a given amount of time
The gradient of velocity-time graphs indicates acceleration
The area under the graph indicates distance as total distance s = v × t
Force
A vector quantity, examples include friction, upthrust, weight, normal reaction force, etc. Its unit is Newton (N)
In most situations, more than one force will act on the object
Unbalanced force
Can be calculated by considering the magnitude and direction of the forces acting on a particular object
If forces are unbalanced, it can cause the object to change the way it moves. If balanced, the forces will have no effect
Friction
The force that causes moving objects to slow down and finally stop. Friction occurs when solid objects rub against other solids and also when objects move through fluids
Forces can change the shape of an object
Changes can be both temporary or permanent
Temporary change in shape
Elastic band
Permanent change in shape
Glass
Springs
Stretch when force is applied and return to original position after force is removed
Hooke's Law
The extension of the spring is directly proportional to the force applied. The graph obtained by plotting force against extension is a straight line passing through the origin
Hooke's Law is applicable only up to a certain point called the limit of proportionality. This is where the spring stops obeying Hooke's law and starts stretching more for each load force increase
Once the elastic limit has been reached, the spring will not return to its original length
Elastic bands
When stretched, graphs like this are achieved
If unbalanced forces are acting on an object
The object may accelerate or decelerate depending on the direction of the unbalanced force
When mass is constant
The graph of force against acceleration is a straight line passing through the origin. Therefore, F ∝ a
Brakes on cars and bicycles
Work by increasing the friction between the rotating wheels and the vehicle's body
If the road is wet or the tires are in bad condition, the frictional force will be smaller. If the brakes are too hard, the tires will not grip the road surface, and the car will skid
Reaction time
The time a driver takes to react to a new object or situation in front of them
Thinking distance
The amount of distance travelled during the reaction time
Braking distance
The distance travelled within the time when brakes are first applied and the car stops
Weight
The force that acts on an object because of gravity
Air resistance or drag
The force that opposes the movement of an object through air
Drag coefficient
A measure of how easily an object moves through the air
Velocity–time graph for a free-fall parachutist reaching terminal velocity
Momentum
Measures how difficult it is to stop something that is moving