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Acceleration

Bengali: ত্বরণ•Pronunciation: অ্যাক্সিলারেশন•Symbol: \vec{a}
Standard Definition:
The rate at which the velocity of an object changes with respect to time.

📐 Mathematical Equation, Units & Dimensions

Defining Mathematical Equation
a⃗=dv⃗dt=v⃗−u⃗t\vec{a} = \frac{d\vec{v}}{dt} = \frac{\vec{v} - \vec{u}}{t}
Standard SI Unit
m/s^2 (meter per second squared)($m/s^2$ (মিটার/সেকেন্ড²))
Dimensional Analysis
[LT−2][L T^{-2}]
CGS Unit
cm/s^2

📖 Physical Concept & Comprehensive Explanation

Acceleration occurs whenever a body experiences a change in velocity magnitude or direction over time. Negative acceleration (velocity decreasing over time) is called retardation or deceleration. Free-falling bodies accelerate under Earth's gravitational pull at approximately 9.8 m/s^2.

🎯 High-Yield Revision Points

  • ✓Acceleration = (final velocity - initial velocity) / time.
  • ✓Negative acceleration is termed deceleration or retardation.
  • ✓SI unit is m/s^2; dimension is [L T^-2].

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❓ Frequently Asked Exam Questions (FAQ)

Common questions in board and competitive entrance examinations

Q1: What is acceleration and its unit?

Acceleration is the rate of change of velocity per unit time. Its SI unit is m/s^2.

Q2: What is deceleration?

Deceleration is negative acceleration, representing the rate at which an object slows down over time.

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