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 5t 2 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 perpend...

a To plot the path of the vessel and the boundary we can use Python and the Matplotlib library Heres ...

A certain shing vessel is initially located in a horizontal plane at x = 0 and y

Question:

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

Ах Ax + By + C d = + VA? + B?

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.

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