AS Level Further Mechanics 1+2

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Sum to infinity to find total vertical distance travelled

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<p>where a1 = initial height and r = ratio of change in height after each bounce (typically e²)</p>

where a1 = initial height and r = ratio of change in height after each bounce (typically e²)

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Integration by parts formula

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<p>Choose dv as whichever term is easier to integrate </p>

Choose dv as whichever term is easier to integrate

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5 Terms

1
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Sum to infinity to find total vertical distance travelled

where a1 = initial height and r = ratio of change in height after each bounce (typically e²)

<p>where a1 = initial height and r = ratio of change in height after each bounce (typically e²)</p>
2
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Integration by parts formula

Choose dv as whichever term is easier to integrate

<p>Choose dv as whichever term is easier to integrate </p>
3
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Kinematics rules

s → v → a

Differentiate forwards

Integrate backwards (with respect to time)

4
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Finding time taken for one whole revolution

Time = Distance / (angular) speed

2pi/w = 2pir/v

5
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How to know when to use substitution or parts

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