Three simple harmonic motions in the same direction having the same amplitude and same period ar...

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Three simple harmonic motions in the same direction having the same amplitude and same period are superposed. If each differ in phase from the next by \( 45^{\circ} \), then
(a) the resultant amplitude is \( (1+\sqrt{2}) a \)
(b) the phase of the resultant motion relative to the first is \( 90^{\circ} \)
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(c) the energy associated with the resulting motion is \( (3+2 \sqrt{2}) \) times the energy associated with
W any single motion
(d) the resulting motion is not simple harmonic
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