The position vector for a particle moving on a helix is c(t) = (5 0030'), 5 sin(t), t2) . Find the speed s(t0) of the particle at time to = 97:. (Express numbers in exact form. Use symbolic notation and fractions where needed.) 500) = Find parametrization for the tangent line at time to = 97:. Use the equation of the tangent line such that the point of tangency occurs when t = to. (Write your solution using the form (*,*,*). Use 1' for the parameter that takes all real values. Simplify all trigonometric expressions by evaluating them. Express numbers in exact form. Use symbolic notation and fractions as needed.) 1(1) = | Where will this line intersect the xy-plane? (Write your solution using the form (*,*,*). Express numbers in exact form. Use symbolic notation and fractions where needed.) point of inter