A disc of radius \( R \) rolls on a horizontal ground with linear acceleration \( a \) and angul...

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A disc of radius \( R \) rolls on a horizontal ground with linear acceleration \( a \) and angular acceleration \( \alpha \) as shown in figure.
\( \mathrm{P} \) The magnitude of acceleration of point \( P \) as shown in the

W figure at an instant when its linear velocity is \( v \) and angular velocity is \( \omega \) will be
(1) \( \sqrt{(a+r \alpha)^{2}+\left(r \omega^{2}\right)^{2}} \)
(2) \( \frac{a r}{R} \)
(3) \( \sqrt{r^{2} \alpha^{2}+r^{2} \omega^{4}} \)
(4) \( r \alpha \)
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