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A body is vibrating in simple harmonic motion with an amplitude of 0.06 m and frequency of 15 Hz. The velocity and acceleration of body is

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$9 .82 m / s$ and $9 .03 \times 10^{2} m / s^{2}$

$8 .91 m / s$ and $8 .21 \times 10^{2} m / s^{2}$

$6 .82 m / s$ and $7 .62 \times 10^{2} m / s^{2}$

$5 .65 m / s$ and $5 .32 \times 10^{2} m / s^{2}$

answer is A.

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Detailed Solution

Velocity $v = aω = a \times 2 π n$

$= 0 .06 \times 2 π \times 15 = 5 .65 m / s$

Acceleration $A = ω^{2} a = 4 π^{2} n^{2} a = 5 .32 \times 10^{2} m / s^{2}$

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