2. Consider an object moving along a parametric curve whose position vector at time t is given by r(t) = 25in{4t)i + 2 cos(4t}j + 3tk. (a) Find the velocity v{t) and acceleration a[t). T {b} Find the arc length a of the part of the curve between t = U and t = 5'. {1:} Calculate the unit tangent vector T(t]. {d} Use the unit tangent vector to calculate the curvature a. {e} \"-"hat is the curvature of a circle with radius 2'? \"Tould you expect the object described above to have greater or lesser curvature than the curvature of a circle with radius 2'? Justify your