Unit 1: Kinematics Name: MatraE Cavgins 5. In a race, a...

Unit 1: Kinematics Name: \( \qquad \) MatraE Cavgins \( \qquad \) 5. In a race, a boat travels a distance of \( 220 \mathrm{~m}\left[\mathrm{E} 40^{\circ} \mathrm{N}\right] \) and then rounds a buo travels a distance of \( 360 \mathrm{~m}\left[\mathrm{~N} 30^{\circ} \mathrm{W}\right] \) to the finish line. The whole trip takes : a) Determine the total displacement of the boat.

A hiker travels 2 km due east of his starting point. Then he travels 1 km northwest. Finally, he travels 3 km due north. How far is the hiker from his starting point after the 3 displacements and in what direction? Draw the three displacement vectors to scale and add them graphically. Find the magnitude and direction of A, B and A + B for A = -4i – 7j and B = 3i – 2j . Describe the following vectors using the unit vectors i and j. A velocity of 10 m/s at an angle of elevation of 60 degrees. A vector A of magnitude A = 5m and θ = 225 degrees. A displacement from the origin to the point x = 14 m and y = -6 m. A stationary radar operator determines that a ship is 10 km south of him. An hour later the same ship is 20 km southeast of him. If the ship moved at a constant velocity and always in the same direction. What was its average velocity during this time in both magnitude and direction?

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