Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Speed is a scalar quantity that describes how fast an object is moving. It is defined as the distance traveled per unit of time: .
Distance is the total length of the path traveled by an object, measured in meters (), kilometers (), or centimeters ().
Time is the duration during which the motion occurs, measured in seconds (), minutes (), or hours ().
The standard SI unit for speed is meters per second (), although kilometers per hour () is frequently used for vehicles.
Average Speed is calculated by dividing the total distance by the total time taken: .
On a Distance-Time graph, the gradient (slope) of the line represents the speed of the object. A horizontal line indicates the object is stationary ().
📐Formulae
💡Examples
Problem 1:
A cyclist travels a distance of in . What is the average speed of the cyclist?
Solution:
Explanation:
To find the speed, we divide the total distance () by the total time (). The resulting unit is .
Problem 2:
An athlete runs at a constant speed of for . How far does the athlete run?
Solution:
Explanation:
To find the distance, we multiply the speed () by the time (). The 'seconds' units cancel out, leaving the distance in meters ().
Problem 3:
A train is traveling at a steady speed of . How long will it take to travel a distance of ?
Solution:
Explanation:
To find the time, we divide the distance () by the speed (). The result is hours, which can also be expressed as .