Two shells are fired from a canon with speed \( u \) each, at angles of \( \alpha \) and \( \bet... VIDEO
Two shells are fired from a canon with speed \( u \) each, at angles of \( \alpha \) and \( \beta \) respectively with the horizontal. The time interval between the shots is \( t \). They collide in mid air after time \( T \) from the first shot. Which of the following conditions must be satisfied?
(A) \( \alpha\beta \)
(B) \( T \cos \alpha=(T-t) \cos \beta \)
(C) \( (T-t) \cos \alpha=T \cos \beta \)
(D) \( u \sin \alpha T-\frac{1}{2} g T^{2}=u \sin \beta(T-t) \)
\[
-\frac{1}{2} g(T-t)^{2}
\]
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