The coordinates of a moving particle at any time 𝑡 are given by 𝑥 = 𝛼𝑡3 and 𝑦 = β𝑡 3 . The speed of the particle at time 𝑡 is given by

April 15, 2022

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Physics Problems

Question : The coordinates of a moving particle at any time 𝑡 are given by 𝑥 = 𝛼𝑡3 and 𝑦 = β𝑡 3 . The speed of the particle at time 𝑡 is given by

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

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

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

Answer : option (B)

Solution :

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