Question

The coordinates of a moving particle at any time 't' are given by x = at³ and y =   βt³ The speed of the particle at time ‘t’ is given by

(a) √a² + β²

(b) 3t√ a²+β²

(c) 3t²√ a²+β²

(d) t²√ a²+β²

Answer 1

Correct Option  (c) 3t²√ a²+β²

Explanation:

x = at³  and y = βt³ [ Given] 

v_x = dx/dt = 3at² and v_y = dy/dt  3βt²

^{Resultant velocity = v =}