Question

velocity of an object is V=a √X. what will be the final speed if the intial speed is Vo?

Answer 1

the question requires more information
a = v× dv/dx
substitute this in given equation
v = v dv/dx. sqrt(x)
dv = dx / sqrt(x)
integrate
V - Vo = 2 sqrt(x)
V = Vo+2sqrt(x)