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Acceleration Simplified Revision Notes

Revision notes with simplified explanations to understand Acceleration quickly and effectively.

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Acceleration

infoNote

Acceleration is the rate at which an object's velocity changes over time. It's measured in metres per second squared (m/s²). Whenever an object speeds up or slows down, it's accelerating.

  • Acceleration shows how fast something is increasing or decreasing its speed.
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You can calculate average acceleration with this formula:

Acceleration(a)=Change in velocity(Δv)Time taken(t)\text{Acceleration} (a) = \frac{\text{Change in velocity} (\Delta v)}{\text{Time taken} (t)}

Where:

  • a is the acceleration in metres per second squared (m/s²),
  • Δv the change in velocity in metres per second (m/s),
  • t is the time taken in seconds (s).
  • Δ (delta) means change, so Δv refers to the change in velocity.
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You can also write this as:

Δv=vuΔ v = v - u

Where:

  • v is the final velocity,
  • u is the initial velocity. By subtracting the starting velocity from the final velocity, you get the change in velocity.

Acceleration as a Vector

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Acceleration is a vector quantity, which means it has both size (magnitude) and direction. If acceleration is negative, it means the object is slowing down (deceleration).

Uniform Acceleration

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When an object has uniform acceleration, its velocity changes by the same amount during equal intervals of time. This means it's speeding up at a constant rate. If this is the case, you can use the following formula:

v2=u2+2asv2=u2+2as

Where:

  • v is the final velocity in metres per second (m/s),
  • u is the initial velocity in metres per second (m/s),
  • a is the acceleration in metres per second squared (m/s²),
  • s is the distance in metres (m).

:::

This equation is useful when you don't know the time taken. If the object starts from rest, then its initial velocity u is 0.

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