Five persons \( A, B, C, D \) and \( E \) are pulling a cart of mass \( 100 \mathrm{~kg} \) on a...

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Five persons \( A, B, C, D \) and \( E \) are pulling a cart of mass \( 100 \mathrm{~kg} \) on a smooth surface and cart is moving with acceleration \( 3 \mathrm{~m} / \mathrm{s}^{2} \) in east direction. When person \( A \) stops pulling, it moves with acceleration \( 1 \mathrm{~m} / \mathrm{s}^{2} \) in the west direction. When only person \( B \) stops pulling, it moves with acceleration \( 24 \mathrm{~m} / \mathrm{s}^{2} \) in the north direction. The magnitude of acceleration of the cart when only \( A \) and \( B \) pull the cart keeping their directions same as the old directions, is:
(a) \( 26 \mathrm{~m} / \mathrm{s}^{2} \)
(b) \( 3 \sqrt{71} \mathrm{~m} / \mathrm{s}^{2} \)
(c) \( 25 \mathrm{~m} / \mathrm{s}^{2} \)
(d) \( 30 \mathrm{~m} / \mathrm{s}^{2} \)
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