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Acceleration Simplified Revision Notes

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

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5.6.10 Acceleration

Acceleration

Definition

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Acceleration: the change of an object's velocity over a given time.

infoNote

Formula

Acceleration (m/s2)=change in velocity (m/s)time (s)\text{Acceleration (m/s}^2\text{)} = \frac{\text{change in velocity (m/s)}}{\text{time (s)}}

Velocity-Time Graphs

  • Horizontal line: Constant velocity.
  • Upward slope: Acceleration.
  • Downward slope: Deceleration.
  • The gradient of a velocity-time graph tells us the acceleration of the object. image

Area Under the Graph

  • The area under the graph tells us the distance travelled in a specific direction (displacement).
  • If the graph has curved lines, the acceleration is not constant.
    • In this case, count the total number of squares under the graph, estimating the total "parts" of squares.

The equation for Constant Acceleration

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If an object is accelerating at a constant rate, we can use this equation:

v2=u2+2asv^2 = u^2 + 2as(final velocity)2=(initial velocity)2+2×acceleration×distance\text{(final velocity)}^2 = \text{(initial velocity)}^2 + 2 \times \text{acceleration} \times \text{distance}

How Objects Accelerate Towards the Earth

Initial Acceleration

  • When any object falls towards the surface of the earth, it initially accelerates at around 9.8 m/s².
  • This acceleration is due to the force of gravity acting on the object.

Air Resistance

  • As a skydiver falls, they experience an upward force of friction with the air particles called air resistance.
  • After some time, the force of air resistance balances the force due to gravity.
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