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Velocity

Bengali: বেগ•Pronunciation: ভেলোসিটি•Symbol: \vec{v}
Standard Definition:
The time rate of change of position of an object in a specified direction.

📐 Mathematical Equation, Units & Dimensions

Defining Mathematical Equation
v⃗=dr⃗dt=Δs⃗Δt\vec{v} = \frac{d\vec{r}}{dt} = \frac{\Delta\vec{s}}{\Delta t}
Standard SI Unit
m/s (meter per second)($m/s$ (মিটার/সেকেন্ড))
Dimensional Analysis
[LT−1][L T^{-1}]
CGS Unit
cm/s

📖 Physical Concept & Comprehensive Explanation

Velocity is a directional vector quantity specifying both the speed and direction of travel. Speed is the scalar magnitude of velocity. An object accelerates whenever its speed changes, its direction changes, or both.

🎯 High-Yield Revision Points

  • ✓The magnitude of velocity is speed.
  • ✓Uniform circular motion has constant speed but changing velocity.
  • ✓SI unit is m/s; dimensional formula is [L T^-1].

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❓ Frequently Asked Exam Questions (FAQ)

Common questions in board and competitive entrance examinations

Q1: What is velocity?

Velocity is the rate of change of displacement with respect to time.

Q2: What is the difference between speed and velocity?

Speed is scalar representing path length over time, whereas velocity is a vector representing displacement over time.

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