# 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

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

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

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