Using a specially designed golf flag, a golfer finds that the wind is blowing through the course at a speed of 12 miles per hour in the direction N40\(^{\circ}\) W Express the wind velocity in vector form, rounded to two decimal places.

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Problem 9

A boat traels in the direction S18\(^{\circ}\)E at a speed of 15 miles per hour. It encourters a wind blowing north to south at a speed of 10 miles per hour. Find the resulting speed and direction of the boat.

A man is pushing a lawn mover handle with a force of 35 pounds. If the angle the handle makes with the horizontal is 40\(^{\circ}\), how much work is done in moving the lawn mower a distance of 150 feet on level ground?