Motion And Measurement — for Class 6

Complete guide to motion and measurement for Class 6. NCERT solved examples and practice questions.

CBSE 15 min read

What Is Motion — and Why Does It Matter?

Every time you throw a cricket ball, ride your bicycle, or watch a ceiling fan spin, you’re watching motion happen. Class 6 is where we first put numbers and definitions to something we’ve observed our whole lives.

Motion simply means a change in position of an object over time. And measurement is how we describe that change precisely — with units, tools, and standard references. These two ideas form the backbone of physics all the way up to Class 12.

The reason we study measurement alongside motion is this: you can’t describe motion without measuring it. Saying “the car moved fast” tells us nothing. Saying “the car moved 60 kilometres in 1 hour” — now that’s physics.

CBSE Class 6 Science Chapter 10 covers this topic. The concepts here are foundational — they reappear in Class 7 (speed and velocity), Class 9 (laws of motion), and even JEE Physics. Get the fundamentals right here and you’ll never be confused about them later.


Key Terms and Definitions

Motion — An object is said to be in motion when its position changes with respect to a fixed reference point (called the reference point or origin).

Rest — An object is at rest when its position does not change with respect to a reference point. Rest and motion are always relative — a passenger sitting in a moving train is at rest relative to the train but in motion relative to the ground.

Measurement — The process of comparing an unknown quantity with a known standard quantity. Without measurement, science cannot exist.

Unit — The known standard quantity used for comparison. For example, metre is the unit of length.

SI Units — The internationally accepted system of units. SI stands for Système Internationale d’Unités (French). India follows SI units in all science and engineering.

Least Count — The smallest measurement a measuring instrument can make. A 30 cm ruler with mm markings has a least count of 1 mm = 0.1 cm.

Uniform Motion — An object covers equal distances in equal intervals of time. Example: a car on a highway at constant speed.

Non-Uniform Motion — An object covers unequal distances in equal intervals of time. Example: a bus in city traffic.


Types of Motion

Understanding the types of motion is a high-weightage concept for CBSE Class 6 and 7 exams. Let’s go through each type with real examples.

Rectilinear (Straight-Line) Motion

The object moves in a straight line. This is also called linear motion.

  • A ball rolling on a flat table
  • A car moving on a straight highway
  • A stone falling straight down

Circular Motion

The object moves along a circular path.

  • Earth revolving around the Sun
  • A stone tied to a string and swung in a circle
  • Blades of a ceiling fan

Rotational Motion

The object spins about its own axis. Notice how this differs from circular motion — here the object itself rotates, it doesn’t travel along a circle.

  • A spinning top
  • Earth spinning on its own axis (causing day and night)
  • A wheel spinning in place

Periodic Motion

The object repeats its motion after equal intervals of time.

  • A pendulum of a clock
  • Swing in a playground
  • Heartbeat

Many objects show more than one type of motion simultaneously. Earth shows both circular motion (around the Sun) and rotational motion (on its own axis). A rolling ball on the ground shows both rectilinear motion (moving forward) and rotational motion (spinning). Watch for these in MCQ questions.


Measurement of Length

Why Standard Units?

Early humans measured length using body parts — a cubit (elbow to fingertip), a foot, a handspan. The problem? My cubit is different from yours. This inconsistency made trade, construction, and science unreliable.

That’s why the world agreed on the SI system — one standard everyone uses.

The SI unit of length is the metre (m).

The Metric System — Conversions You Must Know

1 km=1000 m1 \text{ km} = 1000 \text{ m} 1 m=100 cm1 \text{ m} = 100 \text{ cm} 1 cm=10 mm1 \text{ cm} = 10 \text{ mm} 1 m=1000 mm1 \text{ m} = 1000 \text{ mm} 1 km=1,00,000 cm=10,00,000 mm1 \text{ km} = 1,00,000 \text{ cm} = 10,00,000 \text{ mm}

Using a Ruler Correctly

Most students use a ruler carelessly and lose marks. Here’s the correct method:

Step 1 — Zero check: Look at your ruler’s zero end. Some rulers have a worn-out tip — the zero mark may not start at the very edge. Always note where zero actually is.

Step 2 — Place correctly: Keep the ruler along the length of the object. The zero mark should align with one end of the object.

Step 3 — Read at eye level: Your eye should be directly above the marking, not at an angle. Reading at an angle causes parallax error — you read a slightly different value.

Step 4 — Read the far end: Note the marking that aligns with the other end of the object.

Never start measuring from the end of the ruler if you’re not sure where zero is. Many rulers have a small gap between the physical edge and the zero mark. Always measure from the zero mark, not from the ruler’s edge.

Measuring a Curved Length

You can’t use a rigid ruler to measure a curved line directly. Two methods work:

Thread method: Lay a thread along the curved path, mark the start and end points on the thread, then straighten the thread and measure it with a ruler.

Divider and ruler method: Use a divider (compass with two pointed arms) to “walk” along the curve in small steps, count the steps, and multiply by the step length.


Solved Examples

Example 1 — Easy (CBSE Level)

A student measures a pencil and gets readings at 2.0 cm and 14.5 cm on the ruler. What is the length of the pencil?

The pencil does not start at zero — it starts at 2.0 cm. Many students simply read 14.5 cm as the answer. That’s wrong.

Length=14.5 cm2.0 cm=12.5 cm\text{Length} = 14.5 \text{ cm} - 2.0 \text{ cm} = 12.5 \text{ cm}

The pencil is 12.5 cm long.

The most common error in length measurement questions: reading only the end position and forgetting to subtract the start position. Always calculate: Length = End reading − Start reading.


Example 2 — Easy (CBSE Level)

Express 2.5 km in metres and centimetres.

2.5 km=2.5×1000 m=2500 m2.5 \text{ km} = 2.5 \times 1000 \text{ m} = 2500 \text{ m} 2500 m=2500×100 cm=2,50,000 cm2500 \text{ m} = 2500 \times 100 \text{ cm} = 2,50,000 \text{ cm}

Example 3 — Medium (CBSE Class 6–7 Level)

A train moves 120 km in 2 hours at constant speed. Is this uniform or non-uniform motion? How far does it travel in 30 minutes?

Since the speed is constant, this is uniform motion — equal distances in equal time intervals.

Speed = 120 km2 hr=60\frac{120 \text{ km}}{2 \text{ hr}} = 60 km/hr

In 30 minutes = 0.5 hours:

Distance=60×0.5=30 km\text{Distance} = 60 \times 0.5 = 30 \text{ km}

Example 4 — Medium (CBSE/NCERT Exam Pattern)

Classify the following as uniform or non-uniform motion: (a) A car starting from a traffic signal (b) A satellite orbiting Earth at constant speed (c) A ball thrown upward

(a) Non-uniform — the car accelerates from rest, so speed changes. (b) Uniform — constant speed along a circular path. (c) Non-uniform — the ball slows down, stops, then speeds up coming back. Speed changes throughout.


Example 5 — Hard (Class 7 Extension / Olympiad Level)

Arnav walks 400 m North, then 300 m East. His friend Priya walks directly from the start point to where Arnav is. How far does Priya walk?

Arnav’s path forms two sides of a right-angled triangle. Priya walks the hypotenuse.

Priya’s distance=4002+3002=1,60,000+90,000=2,50,000=500 m\text{Priya's distance} = \sqrt{400^2 + 300^2} = \sqrt{1,60,000 + 90,000} = \sqrt{2,50,000} = 500 \text{ m}

Priya walks 500 m. This is a classic 3-4-5 Pythagorean triple scaled by 100.


Exam-Specific Tips

CBSE Class 6 Board/SA Exam Pattern

This chapter typically carries 5–8 marks. Expect:

  • 1–2 fill-in-the-blank on units (SI unit of length, metre)
  • 1 short answer on types of motion with examples
  • 1 diagram-based question on correct ruler usage
  • 1 conversion problem (km → m → cm)

The “types of motion” question almost always asks you to give one example each. Prepare 2 examples per type to be safe.

Science Olympiad (NSO) Pattern

Olympiad questions at this level love trick questions on relative motion (“who is at rest: the passenger or the train?”) and questions combining two types of motion in one object (Earth, rolling wheel). Practice classifying motion for at least 10 objects before the exam.

For CBSE practicals and activities, remember that measurement always involves error. A 15 cm scale has a least count of 1 mm. You should always record measurements up to the least count — writing 12 cm when you can read 12.3 cm is losing precision unnecessarily.


Common Mistakes to Avoid

Here are the top 5 errors students make — straight from answer sheet analysis:

Mistake 1 — Confusing rotation with circular motion. Rotation is spinning in place (top, Earth on axis). Circular motion is moving along a circular path (Earth around Sun). Both involve circles but they are different. Examiners specifically test this.

Mistake 2 — Taking the end reading as length. Length = End reading − Start reading. If the object starts at the 2 cm mark and ends at 14 cm, the length is 12 cm, not 14 cm.

Mistake 3 — Saying an object is “just in motion” without a reference point. Motion is always relative. Always state: “the car is in motion with respect to the ground.” This earns you full marks in CBSE.

Mistake 4 — Writing km/hr as the SI unit of speed. SI unit of speed is m/s (metres per second), not km/hr. km/hr is a common practical unit but not the SI unit.

Mistake 5 — Forgetting that periodic motion ≠ circular motion. A pendulum swings back and forth — it is periodic but NOT circular. Periodic means “repeats after equal time.” The path can be any shape.


Practice Questions

Q1. What is the SI unit of length? What is the smallest subdivision on a standard 15 cm ruler?

The SI unit of length is the metre (m). A standard 15 cm school ruler has millimetre markings, so the smallest subdivision (least count) is 1 mm = 0.1 cm.


Q2. A student places a pencil on a ruler. The tip aligns with the 3.0 cm mark and the eraser end aligns with 17.5 cm. What is the length of the pencil?

Length = End reading − Start reading = 17.5 cm − 3.0 cm = 14.5 cm


Q3. Classify each as uniform or non-uniform motion: (a) A ball rolling down a slope (b) Earth revolving around the Sun (approximately) (c) A person jogging in a park at changing speeds

(a) Non-uniform — the ball accelerates (speeds up) as it rolls down, so it covers unequal distances in equal time.

(b) Approximately uniform — Earth’s orbital speed is nearly constant (it varies slightly, but at Class 6 level, we treat it as uniform).

(c) Non-uniform — the person changes speed, so unequal distances in equal time.


Q4. Give one example each of: (a) rectilinear motion (b) circular motion (c) rotational motion (d) periodic motion.

(a) Rectilinear: A ball rolling on a flat table in a straight line.

(b) Circular: The Moon revolving around Earth.

(c) Rotational: A spinning top rotating on its tip.

(d) Periodic: The pendulum of a grandfather clock swinging back and forth.


Q5. Express 3.75 km in (a) metres (b) centimetres (c) millimetres.

(a) 3.75×1000=3750 m3.75 \times 1000 = \textbf{3750 m}

(b) 3750×100=3,75,000 cm3750 \times 100 = \textbf{3,75,000 cm}

(c) 3,75,000×10=37,50,000 mm3,75,000 \times 10 = \textbf{37,50,000 mm}


Q6. Why can’t we use our hand-span or arm-length as standard units of measurement?

Body measurements vary from person to person. A child’s hand-span is much smaller than an adult’s. If two people measure the same table using their own hand-spans, they’ll get different numbers — this makes comparison impossible. Standard units like the metre are the same everywhere in the world, removing all ambiguity.


Q7. A ceiling fan is running. Identify the types of motion for: (a) the blade as a whole (b) a point at the tip of the blade.

(a) The blade undergoes rotational motion — it spins about the central axis of the fan.

(b) A point at the tip of the blade undergoes circular motion — it traces a circular path as the blade rotates.

This is a trick question — the same object can show different types of motion depending on what we’re observing.


Q8. A tailor wants to measure the length of cloth needed to go around a person’s waist. Which measuring tool is best — a ruler or a measuring tape? Why?

A measuring tape is best. The waist is a curved surface, not a straight line. A rigid ruler cannot bend to follow the curve. A flexible measuring tape can be wrapped around the waist and read directly, giving an accurate measurement of the curved length.


Frequently Asked Questions

Q. What is the difference between rest and motion?

An object is in motion when its position changes with respect to a reference point. It is at rest when its position stays fixed. Here’s the key: rest and motion are relative — the same object can be at rest and in motion at the same time, depending on the reference point. A book on your desk is at rest relative to the desk but in motion relative to the Sun (because Earth is orbiting it).


Q. Can an object be in two types of motion simultaneously?

Yes, absolutely. A rolling ball is in both rectilinear motion (moving forward) and rotational motion (spinning). Earth shows circular motion (around the Sun) and rotational motion (on its axis). Wheels on a moving car show both. Identifying combined motion is a favourite CBSE and Olympiad question type.


Q. Why do we need standard units?

Without standard units, measurements made in different places or by different people cannot be compared. Historically, inconsistent units caused problems in trade, construction, and science. The SI system gives us one universal standard — 1 metre means exactly the same thing in Mumbai, Moscow, and Manchester.


Q. What is the difference between circular motion and rotational motion?

In circular motion, the entire object moves along a circular path around an external point. Example: Earth moving around the Sun — Earth itself travels in a circle.

In rotational motion, the object spins about an internal axis (a point or line within the object). Example: Earth spinning on its own axis — Earth rotates in place, it doesn’t travel anywhere.


Q. What is meant by “least count” of a measuring instrument?

Least count is the smallest value that an instrument can measure. For a ruler with mm markings, the least count is 1 mm. For a ruler with only cm markings, the least count is 1 cm. You should always record measurements to the nearest least count for accuracy.


Q. Is the motion of a pendulum circular or periodic?

A pendulum’s motion is periodic — it repeats after equal time intervals (the time period). The path is a small arc, which might look circular, but we classify it as periodic because the defining feature is the repetition, not the shape of the path. Circular motion specifically means moving along a full or continuous circular path around a central point.


Q. What tools are used to measure length in science?

  • Ruler / metre scale — for straight-line lengths, up to about 1 m
  • Measuring tape — for larger or curved lengths (tailor’s tape, surveyor’s tape)
  • Vernier calliper — for small lengths with high precision (taught in Class 11)
  • Screw gauge — for very small lengths like wire diameter (Class 11)
  • Odometer — measures distance travelled by a vehicle

At Class 6, focus on ruler and measuring tape.


Q. How is motion in our daily life connected to what we study in Class 6?

Every vehicle, every sport, and every machine involves some form of the motion types we study here. A bicycle wheel does circular + rotational motion. Your heart does periodic motion. A ball thrown in cricket does rectilinear motion (for a moment). When you move to Class 9, you’ll study Newton’s Laws — which mathematically describe why motion happens. The classification you learn in Class 6 is the vocabulary that makes those laws meaningful.

Practice Questions