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

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.