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Please show work 1) Starting at the origin of coordinates, the following displacements are made in the xy-plane. 60mm in the +y direction, 30mm in

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1) Starting at the origin of coordinates, the following displacements are made in the xy-plane. 60mm in the +y direction, 30mm in the -x direction, 40mm at 150 degrees, and 50mm at 240 degrees. Find the resultant vector both graphically and algebraically. 2) What displacement must be added to a 50cm displacement in the +x direction to give a resultant displacement of 85cm @ 25 degrees? 3) A train travels at 60 m/s to the east with respect to the ground. A businessman on the train runs at 5 m/s to the west with respect to the train. Find the velocity of the man with respect to the ground. 4) You're walking along a road, heading west at 8 km/hr. A train track runs parallel to the road and a train is passing by, traveling at 40 km/hr west. There is also a car driving by on the road, going 30 km/hr east. (A) How fast is the train traveling relative to you? (B) How fast is the car traveling relative to you? (C) And how fast is the train traveling relative to the car

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