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A stone tied to the end of a string of \( 1 \mathrm{~m} \) long is whirled in a horizontal circle with a constant speed. If the stone makes 22 revolutions in 44 seconds, what is the magnitude and direction of acceleration of the stone?
(a) \( \pi^{2} \mathrm{~m} \mathrm{~s}^{-2} \) and direction along the radius towards the centre
(b) \( \pi^{2} \mathrm{~m} \mathrm{~s} \mathrm{~s}^{-2} \) and direction along the radius away from the centre
(c) \( \pi^{2} \mathrm{~m} \mathrm{~s}{ }^{-2} \) and direction along the tangent to the circle
(d) \( \pi^{2} / 4 \mathrm{~m} \mathrm{~s}^{-2} \) and direction along the radius towards the centre.
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