5) [l 5 points] A particle moves in space such that its position at time t is given by r0) = (212:9; 2>. a) Find parametric equations for the line tangent to this trajectory when r = l . b) Find the tangential component of the acceleration vector a(r) = r\"(t) as a function of the time I. (That is, nd the scalar projection of a(:') 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. ]