The co-ordinates of a moving particle at anytime 't' are given by ` x = alpha t^(3) and y = beta t^(3)`. The speed of the particle at time 't' is given by

Options

A. ` 3t sqrt(alpha^(2) + beta^(2))`
B. ` 3t^(2) sqrt(alpha^(2)+beta^(2))`
C. ` t ^(2)sqrt(alpha^(2)+beta^(2))`
D. ` sqrt(alpha^(2)+beta^(2))`

Answer

B