A ball is projected from the ground at angle \( \theta \) with the horizontal. After \( 1 \mathr...

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A ball is projected from the ground at angle \( \theta \) with the horizontal. After \( 1 \mathrm{~s} \), it is moving at angle \( 45^{\circ} \) with the horizontal and after \( 2 \mathrm{~s} \) it is moving horizontally. What is the velocity of projection of the ball?
(1) \( 10 \sqrt{3} \mathrm{~m} \mathrm{~s}^{-1} \)
(2) \( 20 \sqrt{3} \mathrm{~m} \mathrm{~s}^{-1} \)
(3) \( 10 \sqrt{5} \mathrm{~m} \mathrm{~s}^{-1} \)
(4) \( 20 \sqrt{2} \mathrm{~m} \mathrm{~s}^{-1} \)
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