y = 0.5 (sin 3πt + √3 cot 3πt)
y = 0.5 x 2 ( \(\cfrac12\) sin 3πt + \(\cfrac{\sqrt3}2\) cot 3πt)
y = 1 ( cot \(\cfrac{\pi}3\) sin 3πt - sin \(\cfrac{\pi}3\) cot 3πt)
y = sin( 3πt + \(\cfrac{\pi}3\))
Comparing equation
y = A sin (ωt + θ)
Then amplitude A = 1
Angular frequency ω = 3π rad/sec
Time period T = \(\cfrac{2\pi}ω\)
T = \(\cfrac{2\pi}{3\pi}\)
T = \(\cfrac23\) sec
Acceleration a = Aω2
= 1 x (3π)2
a = 9π2 m/s2
Velocity v = Aω
v = 1 x 3π
v = 3π m/s