The acceleration of the function is and initial conditions are and

Find velocity.

Definition of velocity vector in terms of acceleration is .

Initial condition of velocity is  .

Substitute in velocity vector.

Substitute value in velocity vector.

Velocity vector is .

Find position vector .

Definition of position vector in terms of velocity is .

Initial condition of the position vector is .

Substitute in position vector.

Substitute in .

Position vector is 

Find the position at time .

Position vector at    is

Velocity vector is .

Position vector is 

Position vector at    is