A body of mass 𝑚 is thrown upwards at an angle θ with the horizontal with velocity 𝑣. While rising up the velocity of the mass after 𝑡 second will be

Question : A body of mass 𝑚 is thrown upwards at an angle θ with the horizontal with velocity 𝑣. While rising up the velocity of the mass after 𝑡 second will be

(A) \sqrt{\left( v\cos \theta \right) ^{2}+\left( v\sin \right) ^{2}}

(B) \sqrt{\left( v\cos \theta -v\sin \theta \right) ^{2}-gt}

(C) \sqrt{v^{2}+g^{2}t^{2}-\left( 2v\sin \theta \right) gt}

(D) \sqrt{v^{2}+g^{2}t^{2}-\left( 2v\cos \theta \right) gt}

Answer : option (C)

Solution :

A body of mass 𝑚 is thrown upwards at an angle θ with the horizontal with velocity 𝑣. While rising up the velocity of the mass after 𝑡 second will be
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