5) [15 points] A particle moves in space such that its position at time t is given by r(t) = (23,42: 2>. a) Find parametric equations for the line tangent to this trajectory when t =1. b) Find the tangential component of the acceleration vector :10!) = r\"(t) as a function of the time I. (That is, nd the scalar projection of a(t) in the direction of motion at any point along this Curve.) c) Find a definite integral that represents the distance traveled by the particle along the path given by r(t) = (212, -12,t-2) between t =1 and t =3. [DO NOT evaluate this integral.]