Show all working explaining detailly each step Answer should be clearly written in good handwriting, I insist! Answer Q2 b Transcribed Image Text: 2. (a)

Show all working explaining detailly each step Answer should be clearly written in good handwriting, I insist! Answer Q2 b Transcribed Image Text: 2. (a) The equation of motion of a particle P moving in a straight line OX is
dr
+ 6
+ 4z = 0, where ris the displacement of P from O at time t.
(dt)
dt
Initially, Pis at O, moving with specd V3ms .
(i) Show that the displacement r of Pcan be written in the form
I = Ac “cos(nt + €). stating the values of A, n and e
(ii)
Find the period of the motion.
(b) A particle performs simple harmonic motion with centre O and amplitude 2 metres.
The period of oscillation is a seconds. P and Q are two points which lie at a distance
V3m on either side of O.
Find the time taken by the particle to move directly from P to Q.

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