How fast you're going, with no regard to direction
Velocity
How fast you're going, with direction specified
Speed and velocity are similar, but in physics they're not quite the same
Speed and velocity both simply say how fast you're going, and both are measured in m/s (or km/h or mph)
You can have objects travelling at a constant speed with a changing velocity
This happens when the object is changing direction whilst staying at the same speed
Distance, speed, time formula
distance = speed x time
Example using distance, speed, time formula
A cat skulks 20 min 35s. Find: a) its average speed. b) how long it takes to skulk 75 m.
Acceleration
The rate of change of velocity
Acceleration
The formulas for acceleration on this page only work when the acceleration is constant (uniform)
The unit of acceleration is m/s², which is velocity, but m/s per second
Distance-time graph
Tells you how fast an object is moving and how far it's travelled
Distance-time graph
The gradient (slope) at any point gives the speed of the object
Flat sections are where it's stopped
A steeper graph means it's going faster
Curves represent acceleration
A curve getting steeper means it's speeding up (increasing gradient)
A levelling off curve means it's slowing down (decreasing gradient)
To calculate the speed from a distance-time graph, just work out the gradient
You can also calculate the average speed of an object over a period of time by dividing the total distance travelled by the time it takes to travel that distance
Make sure you're comfortable rearranging equations
Read the axes of any graph you get given carefully
Velocity-time graph
Shows you how the velocity of an object changes over time
Velocity-time graph
Gradient represents acceleration
Flat sections represent steady speed
Steeper graph means greater acceleration or deceleration
Uphill sections are acceleration
Downhill sections are deceleration
The area under any part of the graph is equal to the distance travelled in that time interval
A curve means changing acceleration
The acceleration represented by the first section of the velocity-time graph is the gradient
The speed at any point is simply found by reading the value off the velocity axis
The distance travelled in any time interval is equal to the area under the velocity-time graph
Mass
The amount of stuff in an object
Weight
The force of gravity pulling an object towards the centre of the Earth
Mass is the same anywhere in the universe, but weight depends on the strength of gravity
Weight is measured in newtons using a spring balance or newton meter, while mass is measured in kilograms using a mass balance
Weight formula
weight = mass x gravitational field strength
Example using weight formula
What is the weight, in newtons, of a 5 kg mass, both on Earth and on the Moon?