The coordinates of a moving particle at any time 𝑑 are given by π‘₯ = 𝛼𝑑3 and 𝑦 = β𝑑 3 . The speed of the particle at time 𝑑 is given by

Question : The coordinates of a moving particle at any time 𝑑 are given by π‘₯ = 𝛼𝑑3 and 𝑦 = β𝑑 3 . The speed of the particle at time 𝑑 is given by

(A) 3t\sqrt{a^{2}+\beta ^{2}}

(B) 3t^{2}\sqrt{a^{2}+\beta ^{2}}

(C) t^{2}\sqrt{a^{2}+\beta ^{2}}

(D) \sqrt{\alpha ^{2}+\beta ^{2}}

Answer : option (B)

Solution :

The coordinates of a moving particle at any time 𝑑 are given by π‘₯ = 𝛼𝑑3 and 𝑦 = β𝑑 3 . The speed of the particle at time 𝑑 is given by
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