Edexcel’s January 2013 Mechanics 2 exam paper has massively intricate last part of last question to determine existence of third collision. Examiner’s report says not many candidates supplied an answer, which is not a surprise. This, and much more, is freely available on my exam bucket website: http://jped.co.uk/ExamBucket/exambucket.php.
How to make Pascal’s Triangle.
apply rotation to variables:
to make new equations:
to get rotating ellipse:
note that addition of an term only to the original equation, under certain limitations of coefficients, means a rotation only.
Successive approximations of the Sine function formed by truncating the Taylor Series.
Summary of parabola facts, worthy of Victorian text book, attempts to exhaust obvious question contexts in Further Pure and STEP. Prove them!