The coordinates of a moving particle at any time ‘t’ are given by x = αt3 and y = βt3. The speed of the particle at time ‘t’ is given by

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

(2) $3\text{\hspace{0.17em}}t\sqrt{{\alpha }^{2}+{\beta }^{2}}$

(3) $3\text{\hspace{0.17em}}{t}^{2}\sqrt{{\alpha }^{2}+{\beta }^{2}}$

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