The derivative of the position of a particle is given by r'(t) =(2t, t2+2, t2-2)
a. What is the acceleration of the particle in the direction of the tangent vector to the curve (i.e. what is the tangential component of acceleration, aT) whenever t=2?
b. What is the acceleration of the particle in the direction of the normal vector to the curve (i.e. what is the normal component of acceleration, aN) whenever t=2?