CCEA A-Level Physics 1210
Physical Quantities, Scalars and Vectors
Moments and Equilibrium
Linear Motion and Dynamics
Newton's Laws of Motion
Linear Momentum and Impulse
Work, Energy and Power
Current, Charge and Potential Difference
Resistance and Resistivity
Internal Resistance and Potential Dividers
Waves
Refraction
Lenses
Superposition, Interference and Diffraction
Quantum Physics
Wave-Particle Duality
Astronomy
Practical Skills and Data Analysis
Deformation of Solids
Thermal Physics
Uniform Circular Motion
Simple Harmonic Motion
The Nucleus and Radioactive Decay
Nuclear Energy, Fission and Fusion
Gravitational Fields
Electric Fields
Capacitors
Magnetic Fields
Charged Particles and Accelerators
Simple Harmonic Motion
SHM graphs and finding velocity from a gradient
- 3 things to know
- Unit A2 1
Overview
Recall questions on the shapes of the displacement, velocity and acceleration graphs and their quarter-cycle phase relationships, obtaining the velocity as the gradient of the displacement–time graph and the acceleration as the gradient of the velocity–time graph, and where on each graph the gradient is greatest and where zero.
What you need to know
Answer each one before you reveal it.
What does the gradient of a velocity–time graph of an oscillating body give?
Where on a displacement–time graph of simple harmonic motion is the gradient steepest, and what does that tell you about the motion?
Questions from this subtopic
Each one with the model answer underneath.
- 1
What shape is the displacement–time graph of a body performing simple harmonic motion released from maximum displacement?
Model answer
It is a cosine curve, starting at the amplitude value, falling to zero after a quarter period, reaching minus the amplitude at half a period and repeating.
- 2
How is the velocity of an oscillating body found from its displacement–time graph?
Model answer
The velocity at any instant is the gradient of the tangent to the displacement–time curve at that point, in m s⁻¹.
- 3
What does the gradient of a velocity–time graph of an oscillating body give?
Model answer
The gradient of the velocity–time graph gives the acceleration of the body at that instant, in m s⁻².
- 4
Where on a displacement–time graph of simple harmonic motion is the gradient steepest, and what does that tell you about the motion?
Model answer
The gradient is steepest where the curve crosses the time axis at zero displacement, showing that the body is moving fastest as it passes through the equilibrium position.
- 5
What is the gradient of the displacement–time graph at the peaks and troughs, and what does it mean physically?
Model answer
The gradient is zero there, showing that the body is momentarily at rest at each extreme of its motion before reversing direction.
- 6
What shape is the graph of acceleration against displacement for a body in simple harmonic motion?
Model answer
It is a straight line through the origin with a negative gradient, running from the top left to the bottom right.
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