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  • A-Level Maths

Acceleration, Projectiles & Kinematics

Velocity is the rate of change of an object's position, and therefore has direction. This makes it a vector quantity, unlike speed which is scalar (magnitude but no direction).

velocity = distance / time

The units of velocity are m/s


Acceleration is the rate of change of velocity, and so is the mathematical derivative of this.

acceleration = change in velocity / change in time

The units of acceleration are m/s²




Motion Graphs

We can plot motion on two main types of graph - it is important to know the properties of each.

Displacement-time graph. A-Level Maths Mechanics Notes. EngineeringNotes.net, EngineeringNotes, Engineering Notes.

Displacement-Time Graphs

  • The Gradient is the velocity - draw a tangent to find the instantaneous velocity

  • Horizontal line represents zero velocity

Velocity-time graph. A-Level Maths Mechanics Notes. EngineeringNotes.net, EngineeringNotes, Engineering Notes.

Velocity-Time Graphs

  • The Gradient is the acceleration

  • The Area beneath the graph is the displacement


Constant Acceleration

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