Topic: Position, Distance, Displacement, and Motion
Subject: Physics
Class: SS1
Duration: 40 minutes
Instructional Objectives
By the end of the lesson, students should be able to:
- Define position and explain how it is represented in Physics.
- Differentiate between distance and displacement.
- State differences between scalar and vector quantities.
- Define motion and explain the types of motion.
- Solve simple problems on distance and displacement.
Instructional Materials
- Graph board/chart
- Meter rule or measuring tape
- A ball (for demonstration of motion)
- Chalk/marker and ruler (for drawing diagrams on board)
Lesson Content in Steps
Step 1: Position
- Position refers to the location of a body in space relative to a reference point or origin.
- In Physics, position is described using coordinates (x, y, z) in space.
- Example: A student standing 5 m east of a tree has the position described relative to the tree.
- A position vector is often used to describe position, e.g., .
Step 2: Distance
- Distance is the total length of the path covered by a moving body, regardless of direction.
- It is always positive and is a scalar quantity (it has magnitude only).
- Example: If a boy walks 3 m east and then 4 m west, the distance covered = 3 m + 4 m = 7 m.
Step 3: Displacement
- Displacement is the shortest distance from the initial position to the final position of a body in a specified direction.
- It is a vector quantity (has both magnitude and direction).
- Using the same example: The boy walks 3 m east and 4 m west. His displacement = (3 – 4) = –1 m, meaning 1 m to the west.
- Displacement may be zero even when distance is not zero (e.g., when a runner completes a lap around a circular track).
Step 4: Scalar and Vector Quantities
- Scalar quantities: have magnitude only, no direction. Examples: distance, speed, mass, time, temperature.
- Vector quantities: have both magnitude and direction. Examples: displacement, velocity, force, acceleration.
- Vectors are usually represented by arrows: the length shows magnitude, the arrowhead shows direction.
Step 5: Motion
- Motion is the change in position of a body with time relative to a reference point.
- A body is said to be in motion if its position changes as time passes.
- If position does not change with time, the body is at rest.
Types of Motion:
- Translational motion – when a body moves from one point to another (a car on a road).
- Rotational motion – when a body rotates about an axis (rotation of a fan blade).
- Oscillatory/vibratory motion – repeated to-and-fro motion about a point (pendulum swing).
- Random motion – motion without definite direction (particles in Brownian motion).
Step 6: Simple Problems on Distance and Displacement
Example 1: A man walks 6 m north, then 8 m east.
- Distance = 6 + 8 = 14 m.
- Displacement = √(6² + 8²) = √(36 + 64) = √100 = 10 m.
Direction = tan⁻¹(8/6) = 53° east of north.
Example 2: A runner goes 400 m around a circular track and returns to the starting point.
- Distance = 400 m.
- Displacement = 0 m (since he returns to the same point).
Step 7: Summary
- Position describes where a body is located relative to a reference point.
- Distance is the total path covered (scalar).
- Displacement is the shortest straight line between initial and final positions (vector).
- Scalars have magnitude only; vectors have both magnitude and direction.
- Motion is the change in position of a body with time, and it may be translational, rotational, oscillatory, or random.
Evaluation Questions
- Define position and displacement.
- Differentiate between distance and displacement.
- What is the difference between scalar and vector quantities?
- State three types of motion and give one example of each.
- A boy walks 5 m north and then 12 m east. Calculate his distance and displacement.
Classwork
- A student walks 3 km east, 4 km north, and then 2 km west. Calculate:
(a) The total distance covered.
(b) His displacement (magnitude only).
Homework
- List five scalar and five vector quantities.
- A girl walks 7 m north, 24 m east. Calculate her displacement.
- Explain why displacement can be zero while distance is not zero.
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