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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 Graphs

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

• Horizontal line represents zero velocity

### Velocity-Time Graphs

• The Gradient is the acceleration

• The Area beneath the graph is the displacement

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