8) 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? 9) You are crossing a river on a ferry. Assume there is no current in the river (that is, the water is at rest with respect to the shore). The ferry is traveling at a constant velocity of 7.0 m/s north with respect to the shore, while you are walking at a constant velocity of 3.0 m/s south relative to the ferry. (A) What is your velocity relative to the shore? B) Assume now that there is a current of 2.0 m/s directed south in the river, and that the ferry's velocity of 7.0 m/s north is relative to the water. What is the ferry's velocity relative to the shore? What is your velocity relative to the shore? 10) Two piers, A and B, are located on a river: B is 1500 m downstream from A . Two friends must make round trips from pier A to pier B and return. One rows a boat at a constant speed of 4.00 km/h relative to the water; the other walks on the shore at a constant speed of 4.00 km/h. The velocity of the river is 2.80 km/h in the direction from A to B. How much times does it take the walker to make the round trip? How much time does it take the rower to make the round trip? 11) [Honors] On a train moving 75 m/s, you roll a ball towards the front of the train with a speed of 5 m/s. Your friend standing some unknown distance away from you catches it. To a person outside the train, the ball traveled 220m until it was caught. How far away is your friend standing from you? 12) A bus makes three displacements in the following order: 1) 38 mi, 48 east of north 2) 79 mi, 46 west of north; and 3) 55 mi, south-east a. Find the X and Y components of displacement D1. b. Find the X and Y components of displacement D2. c. Find the X and Y components of displacement D3. d. Find the magnitude and direction of the resultant vector.1) Which Quadrant are each of the following vectors in: A" = 5m @ 30 degrees B = 8m/s @ 170 degrees = 20m/s? @ SouthWest D" = 4m @ 15 degrees North of West E = 7m @ 40 West of South F = 23km @ -120 degrees Problems 2 - 3 (A) (B) (C) (D) (E) 2) What is the difference of vector A and vector B? A - B (A) A ( B) B (C) C (D) D (E) E 3) To satisfy this equation: A + B + C = 0 Vector C would represent: (A) A (B) B (C) C (D) D (E) E Find the Resultant Vector of each sum graphically (using polar coordinates on graph paper) and algebraically (using cartesian coordinates). A" + B" - C' = A"=5m/sN, B=7m/s @-25 degrees, C = 3 m/s N of W @ 45 degrees 5) Starting at the origin of coordinates, the following displacements are made in the xy-plane. 60mm in the ty direction, 30mm in the -x direction, 40mm at 150 degrees, and 50mm at 240 degrees. Find the resultant vector both graphically and algebraically. 6) [Honors] What displacement must be added to a 50cm displacement in the +x direction to give a resultant displacement of 85cm @ 25 degrees? 7) 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