The displacement-time graphs of two particles 𝐴 and 𝐵 are straight lines making angles of respectively 30° and 60° with the time axis. If the velocity of 𝐴 is 𝑣𝐴 and that of 𝐵 is 𝑣𝐵, then the value of 𝑣𝐴 𝑣𝐵 is

Question : The displacement-time graphs of two particles 𝐴 and 𝐵 are straight lines making angles of respectively 30° and 60° with the time axis. If the velocity of 𝐴 is 𝑣𝐴 and that of 𝐵 is 𝑣𝐵, then the value of 𝑣𝐴 𝑣𝐵 is

(A) \dfrac{1}{2}

(B) \dfrac{1}{\sqrt{3}}

(C) \sqrt{3}

(D) \dfrac{1}{3}

Answer :

Solution :

The displacement-time graphs of two particles 𝐴 and 𝐵 are straight lines making angles of respectively 30° and 60° with the time axis. If the velocity of 𝐴 is 𝑣𝐴 and that of 𝐵 is 𝑣𝐵, then the value of 𝑣𝐴 𝑣𝐵 is

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