Duration: 5:45

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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 \( 4 \mathrm{~m} / \mathrm{sec} \) and at an angle \( \theta \) with the horizontal with respect to the cart. Assume the height of the cart is very small, so that 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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