The co-ordinates of a moving particle at any time 't' are given by x = $\alpha $t3 and y = βt3. The speed to the particle at time 't' is given by

Question

The co-ordinates of a moving particle at any time 't' are given by x = $\alpha $t³ and y = βt³. The speed to the particle at time 't' is given by

$3t\sqrt {{\alpha ^2} + {\beta ^2}} $

$3{t^2}\sqrt {{\alpha ^2} + {\beta ^2}} $

${t^2}\sqrt {{\alpha ^2} + {\beta ^2}} $

$\sqrt {{\alpha ^2} + {\beta ^2}} $

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