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The relation between the time of flight of a projectile \( T_{f} \) and the time to reach the maximum height \( t_{m} \) is [Kerala PMT 2009]
(a) \( T_{f}=2 t_{m} \)
(b) \( T_{f}=t_{m} \)
(c) \( T_{f}=\frac{t_{m}}{2} \)
(d) \( T_{f}=\sqrt{2}\left(t_{m}\right) \)
(e) \( T_{f}=\frac{t_{m}}{\sqrt{2}} \)
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