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Kinematics – This Is A-Maths Not Physics!

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Tuition given in the topic of A-Maths Tuition Questions from the desk of Miss Loi at 7:26 pm (Singapore time)

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No Physics Please! Admittedly, Miss Loi has been really busy this June holidays – from setting up The Temple to car accidents. So busy that she was unceremoniously deprived of her annual shopping pilgrimage during this period 🙁 .

Likewise, her army of devotees have also been unceremoniously starved of cerebral stimulation during this period. For this Miss Loi felt really bad, as she understands that no number of lame/bimbotic/scandalous posts on her personal life can ever substitute the mighty high you get when you’re attempting one of Miss Loi’s maths questions!

So to kickstart a new round of Maths problems, here’s one on kinematics that will help those of you who have just started to get acquainted with the topic these few weeks:

A particle moves in a straight line so that, at time t seconds after leaving a fixed point O, it’s velocity v m/s is given by

v = 6 – 5e-(t/3)

  1. Find the acceleration of the particle when t = 3.
  2. Sketch the velocity-time graph for 0 ≤ t ≤ 4.
  3. Find the displacement of the particle from O when t = 3.
  4. Show that the particle will not pass through O again.

Detailed scientific analysis (by Miss Loi) has revealed a trend of such questions recurring in recent years i.e. it’s not just about kinematics anymore – differentiation, integration and curve sketching are usually thrown in for good measure.

CAUTION: If you’re a budding Einstein taking physics at the same time, there will be a dangerous tendancy for you to attempt these kind of questions using whatever super duper rocket science out-of-syllabus motion equations you’ve learnt in your physics class. Sadly, you WILL get confused – this is A-Maths NOT Physics! Don’t get embroiled needlessly in the eternal war between physics and pure mathematics – read 100 times the bold words in the last para and you’ll understand why! Think about how those who don’t take physics are going to answer the question.

That’s all Miss Loi has to say for now. Anyway, school’s in, fun’s out! Oh, get high now!

P.S. For some reason, Miss Loi finds the last part of the question a little sad … like this particle and O were never meant to be together *sob* (better cut down on those serial dramas!)

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