At the same instant, two boys throw balls \( A \) and \( B \) from a window with speeds \( v_{0}...

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At the same instant, two boys throw balls \( A \) and \( B \) from a window with speeds \( v_{0} \) and \( k v_{0} \), respectively, where \( k \) is constant. They collide in air at time \( t \). Which of the following option(s) is/are correct?
(1) \( k=\frac{\sin \theta_{2}}{\sin \theta_{1}} \)
(2) \( k=\frac{\cos \theta_{2}}{\cos \theta_{1}} \)
(3) \( t=\frac{h}{\left(k v_{0} \sin \theta_{1}+v_{0} \sin \theta_{2}\right)} \)
(4) \( t=\frac{h}{\left(k v_{0} \cos \theta_{1}+v_{0} \cos \theta_{2}\right)} \)
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