Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Speed is defined as the distance covered by an object in a unit of time. It indicates how fast or slow an object is moving.
The standard SI unit of speed is meters per second (), though it is often expressed in kilometers per hour () for vehicles.
Uniform Motion: When an object covers equal distances in equal intervals of time, it is said to be in uniform motion. The speed remains constant.
Non-uniform Motion: When an object covers unequal distances in equal intervals of time, or its speed changes, it is in non-uniform motion.
Average Speed: For non-uniform motion, we calculate the average speed by dividing the total distance traveled by the total time taken.
Distance-Time Graph: A graphical representation where time is plotted on the -axis and distance on the -axis. A straight line indicates uniform speed, while a curved line indicates changing speed.
📐Formulae
💡Examples
Problem 1:
A car travels a distance of in . Calculate its speed in .
Solution:
Explanation:
Using the basic formula , we divide the total distance () by the time taken () to find the rate of motion.
Problem 2:
A cyclist moves with a speed of . How much distance will he cover in ?
Solution:
First, convert time to hours: Now, calculate distance:
Explanation:
Since the speed is in , the time must be converted from minutes to hours by dividing by . Then, the distance is found by multiplying speed and time.
Problem 3:
Convert a speed of into .
Solution:
Explanation:
To convert from to directly, we multiply the value by the conversion factor .