A cart is moving horizontally along a straight line with constant speed \( 30 \mathrm{~m} / \mat...

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A cart is moving horizontally along a straight line with constant speed \( 30 \mathrm{~m} / \mathrm{s} \). A projectile is to be fired from the moving cart in such a way that it will return to the cart after the cart has moved \( 80 \mathrm{~m} \). At what speed (relative to the cart) must the projectile be fired (Take \( g=10 \mathrm{~m} / \mathrm{s}^{2} \) ) [BHU 2006]
(a) \( 10 \mathrm{~m} / \mathrm{s} \)
(b) \( 10 \sqrt{8} \mathrm{~m} / \mathrm{s} \)
(c) \( \frac{40}{3} m / s \)
(d) None of these
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