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A particle is subjected to two simple harmonic motions as: x 1 = 7 sin 5t cm and x 2 = 2 7 sin ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π + 3 t 5 cm where x is displacement and t is time in seconds. The maximum acceleration of the particle is x × 10 –2 ms –2 . The value of x is :

1. 5 7
2. 25 7
3. 125
4. 175

Correct answer: 175

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