7. Consider the curve produced by the vector valued function, F(t)=(4t, 3cost, 3sint), which represents the position of particle in space at time t. (5 points) Determine the arc length of the curve over the interval 0st< t</2. b) Re-parameterize the curve in terms of its arc length s. c) Determine the position of the particle after it has traveled a distance of 57 units.

Fig: 1