An object is moving along x-axis in such a way that its displacement is given by x=30 + 20t^2 where, x is in metres and t is in seconds.
(a) Find the velocity and acceleration.
(b) What is the initial position and the velocity of the object?

the displacement is given as

x = 30 + 20t²

now, 

the velocity will be

v = dx/dt = d/dt(30 + 20t²)

or

v = 40t m/s

the acceleration will be

a = dv/dt = d/dt(40t)

or

a = 40 m/s²

now, the initial position will be when t = 0

so, in this case x₀ = 30 m

the initial velocity u = dx₀/dt = 0