The relation 3𝑑 = √3π‘₯ + 6 describes the displacement of a particle in one direction where π‘₯ is in π‘šπ‘’π‘‘π‘Ÿπ‘’π‘  and 𝑑 in sec. The displacement, when velocity is zero, is

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Question : The relation 3𝑑 = √3π‘₯ + 6 describes the displacement of a particle in one direction where π‘₯ is in π‘šπ‘’π‘‘π‘Ÿπ‘’π‘  and 𝑑 in sec. The displacement, when velocity is zero, is

(A) 24 π‘šπ‘’π‘‘π‘Ÿπ‘’π‘ 

(B) 12 π‘šπ‘’π‘‘π‘Ÿπ‘’π‘ 

(C) 5 π‘šπ‘’π‘‘π‘Ÿπ‘’π‘ 

(D) Zero

Answer : option (D)

Solution :

The relation 3𝑑 = √3π‘₯ + 6 describes the displacement of a particle in one direction where π‘₯ is in π‘šπ‘’π‘‘π‘Ÿπ‘’π‘  and 𝑑 in sec. The displacement, when velocity is zero, is
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