Gradient as a rate of change
What Gradient as a rate of change means in Mathematics A-Level, as defined for AQA, Pearson Edexcel.
Definitions of Gradient as a rate of change
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Reference: Pearson Edexcel
On a displacement–time graph the gradient gives velocity, and on a velocity–time graph the gradient gives acceleration, since acceleration is the rate of change of velocity.
On a displacement–time graph the gradient at a point gives instantaneous velocity, and on a velocity–time graph the gradient gives acceleration.
Topics that use Gradient as a rate of change
- Q: Kinematics (AQA A-Level)
- Kinematics (Pearson Edexcel A-Level)
Related terms
- Acceleration
- Displacement
- Distance travelled
- Velocity
- Area under a curve as accumulation
- Area under a rate graph
- Componentwise extension of scalar formulae to vectors
- constant acceleration
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