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A ship departs from a harbor at position (4, 6) and sails west at a speed of 80 (ex. 10) km/h for 4 hours. Then,

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A ship departs from a harbor at position (4, 6) and sails west at a speed of 80 (ex. 10) km/h for 4 hours. Then, it changes course and sails southwest at a speed of 100 km/h for 5 hours. East = positive x and North = positive y. a) Draw the two displacement vectors to scale on a coordinate plane. Then sketch the overall displacement vector of the ship. Where is the ship at the end of the trip? b) Determine the overall displacement vector of the ship, given in both vector form, such as (-3, -5), and magnitude-angle form, such as 5.83 km [W 233.11%\" S], rounded to 2 decimal places. 0) Sketch the two velocity vectors to scale. As the ship changes its direction, draw the change in its velocity vector. Hint: The change from one vector to the other is also a vector. d) Calculate this change in velocity, expressed in both vector form, such as (2, -6), and magnitude-angle form, such as 6.32 km [W 72.11 S], rounded to 2 decimal places

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