coordinates of moving particle at any time t are given by:x=ctsq. and y=btsq. ,what is speed of particle at time t?

For find the speed of the particle:

 

Vx = dx/dt = d(ct²)/dt = 2c t

 

and Vy = dy/dt = d(bt²)/dt = 2b t

 

speed = sqrt (V²x + V²y) = sqrt (4c²t² + 4b²t²) = 2 t sqrt (c² + b²)