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A cart is moved horizontally with a constant velocity of \( 4 \mathrm{~m} / \mathrm{sec} \). A ball is thrown from it with a velocity of \( 4 \mathrm{~m} / \mathrm{sec} \)
\( \mathrm{P} \) and at an angle \( \theta \) with the horizontal with respect to the cart. Assume the height of the cart is very small, so that
W the motion of the ball is assumed to be a ground-to-ground projectile. Horizontal range of the ball with respect to the ground is \( R_{1} \) and that with respect to the cart is \( R_{2} \). Then
(1) \( R_{1} \) will be maximum for \( \theta=60^{\circ} \)
(2) \( R_{1} \) will be maximum for \( \theta=90^{\circ} \)
(3) \( R_{2} \) will be maximum for \( \theta=60^{\circ} \)
(4) \( R_{2} \) will be maximum for \( \theta=45^{\circ} \)
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