JEE Main 2003Annual, Paper 1PhysicsEasyKinematics177× since 2002The co-ordinates of a moving particle at any time 't' are given by x = α\alphaαt³ and y = βt³. The speed to the particle at time 't' is given byAOption A. 3tα2+β23t\sqrt {{\alpha ^2} + {\beta ^2}}3tα2+β2BOption B. 3t2α2+β23{t^2}\sqrt {{\alpha ^2} + {\beta ^2}}3t2α2+β2COption C. t2α2+β2{t^2}\sqrt {{\alpha ^2} + {\beta ^2}}t2α2+β2DOption D. α2+β2\sqrt {{\alpha ^2} + {\beta ^2}}α2+β2CheckSkip · show solution