Variable Acceleration - 1D (Edexcel A-Level Mathematics): Flashcards

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Using Calculus in 1D
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Practise the cards

13 cards from this deck

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Displacement

How far from origin (direction matters)

Velocity

Rate of change of displacement (direction matters)

Speed vs velocity difference

Speed: direction doesn't matter; velocity: direction matters

Velocity formula from displacement ss

v=dsdtv = \frac{ds}{dt}

Acceleration formula from velocity vv

a=dvdta = \frac{dv}{dt}

Acceleration as second derivative

a=d2sdt2a = \frac{d^2s}{dt^2}

When is particle stationary?

When v=0v = 0

When does particle change direction?

When v=0v = 0

Max/min displacement occurs when...

v=0v = 0

Integrating velocity gives...

Displacement: s=vdts = \int v \, dt

Finding constant cc after integration

Use initial conditions (given tt and ss values)

Turning point on displacement curve means

Particle is stationary (v=0v = 0)

Min/max velocity occurs when...

dvdt=0\frac{dv}{dt} = 0

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