Question

1) A steam ship is sailing along the Congo River at 10 mph and with a heading of N 90" E. The current of the river is flowing from east to west at 10 mph. Use vector addition to calculate the movement of the ship. a) [20,0] mph b) [10,0] mplh c) 10,0] mph d) [0,10] mph e) (o,20] mph 2) Two parallel vectors both have an azimuth of 36. One vector has a length of 8 cm, and the other has a length of 3 cm. Add these vectors and report the resulting vector in component notation. a) 16.46, 8.90) cm b) (8, 3] cm c) [1.4, 3.2] cm d) [4.70, 6.47) cm e) [3.26, 1.401 cm 3) You are mapping a fault that has a strike with an azimuth of 56' (another way to say this is N56'E). After following the fault for 1.50 km, how many km north have you gone? a) 0.37 km b) 0.91 km 3.00 km d) 1.50 km e) 0.84 km 4) At a point where the Poudre River flows directly south, you attempt to swim across it. The river is 22 meters wide, and it takes you 12 seconds to get across. Although you initially attempted to swim due East, when you get across you realize your final bearing was 35 south of east. Please indicate how far the Poudre pushed you downstream, and how fast you swam across, in vector notation. a) 15.4m, [1.8, 1.3] m/s b) 8.4m, [1.3, 1.8] m/s c)8.4m, [1.8, 1.3] m/s d) 22.1m, [1.3, 1.8] m/s e) 15.4m, [1.3, 1.8] m/s

Answer 1

Here we use relative velocity concept to find the absolute velocity of ship in Q1.