A certain shing vessel is initially located in a horizontal plane at x = 0 and y = 10 mi. It moves on a path for 10 hr such that x = t and y = 0.5t2 + 10, where t is in hours. An international shing boundary is described by the line y = 2x + 6.
a. Plot and label the path of the vessel and the boundary.
b. The perpendicular distance of the point (x1, y1) from the line Ax + By + C = 0 is given by
where the sign is chosen to make d ≥ 0. Use this result to plot the distance of the shing vessel from the shing boundary as a function of time for 0 ≤ t ≤ 10 hr.
