a) A particle undergoes simple harmonic motion with an angular velocity of 5 rad s-1 and an amplitude of 50 cm. If it starts with maximum forward amplitude at t = 0, find:
i) the displacement at t= 10 s;
ii) the acceleration at t = 6 s.
iii) the velocity at t= 2 s.
b) i) A 5 kg mass undergoes simple harmonic motion on a spring with a force constant of 70 Nm-1. If the amplitude is 3 m, calculate the maximum velocity.
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