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Speed

Speed = distance ÷ time; units m/s and km/h.

Speed

Speed

What you'll learn

  • That speed tells how fast an object covers distance — distance per unit time.
  • To use the formula speed = distance ÷ time with correct units.
  • To compare speeds: more distance in the same time means faster motion.
  • To apply measurement ideas from NCERT Looking Around 5, Chapter 9 (Up You Go!) and Math-Magic 5 distance problems.

Key concepts

Level 1 — Speed formula

Verbal: Speed measures how much distance is travelled in each unit of time.

Symbolic: Speed = Distance ÷ Time; v = d/t

QuantitySI / common unitSymbol
Distancemetre (m), kilometre (km)d
Timesecond (s), hour (h)t
Speedm/s, km/hv

Real-life: A school bus covers 30 km in 1 hour → speed = 30 km/h. A sprinter runs 100 m in 20 s → 100 ÷ 20 = 5 m/s.

Level 2 — Uniform speed and comparison

Verbal: Uniform speed means equal distances in equal time intervals — steady pace.

Symbolic: Compare: Runner A — 10 m in 2 s → 5 m/s; Runner B — 20 m in 5 s → 4 m/s → A is faster.

SituationCalculationFaster?
15 km in 1 h15 km/hBaseline
100 m in 20 s5 m/s (= 18 km/h approx.)Compare after same units
Same time, more distanceHigher speedCar A 60 km vs B 40 km in 1 h → A

NCERT link: Looking Around 5, Ch 9 — climbers cover different distances in same rest period; compare who moved faster.

Worked example

Cyclist travels 15 km in 1 hour. Find speed.

Step 1 — d = 15 km, t = 1 h
Step 2 — v = 15 ÷ 1 = 15 km/h
Answer: 15 km/h

Who is faster: 10 m in 2 s or 20 m in 5 s?

Step 1 — A: 10/2 = 5 m/s
Step 2 — B: 20/5 = 4 m/s
Step 3 — 5 > 4 → first runner is faster
Answer: 10 m in 2 s

Common mistakes

MistakeWhy it happensFix
v = t/dFormula invertedDistance on top, time below
Mixing km and m without convertingUnit mismatchConvert to one system before dividing
Confusing speed with forceBoth relate to motionSpeed = how fast; force = push/pull cause
km/h vs m/s treated as equalDifferent unit sizes1 m/s = 3.6 km/h (Class 5: compare in same unit)

Quick check

  • Find speed: 100 m in 20 s.
  • A car travels 120 km in 2 h. Speed in km/h?
  • What does a car speedometer show?
  • Stretch: Two cyclists: 18 km in 1.5 h vs 24 km in 2 h. Who is faster?

Revision tip: Time yourself walking 100 m with a stopwatch. Calculate your speed in m/s — then compare with a family member.

Open the Practice tab for graded questions on Speed.

Key Takeaways (TL;DR)

  • What you'll learn
  • Key concepts
  • Worked example
  • Common mistakes

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