![(1) The displacement vector A las a length La and a direction east of north; the displacement vector B has a length Le and a direction west of north. What are the magnitude and direction of Ax B? (b) B x A? (c) Write out the vector A x B in terms of the unit vectors i, j, and k. [15 pts] (2) A boat with a maximum speed v (relative to the water) is on one shore of a river witha width d. The river is flowing with speed V. (a) Traveling in a straight line (i.e. perpendicular to the shore) how long does it take the boat to et to a point directly across? (b) What is the fastest possible crossing time to any point on the opposite shore? [20 pts](http://img.homeworklib.com/questions/0b517b90-73d0-11ea-9526-d1074b46fcbc.png?x-oss-process=image/resize,w_560)
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(1) The displacement vector A las a length La and a direction east of north; the...
(1) The displacement vector A as a length LA and a direction θ east of north;...
(1) The displacement vector A as a length LA and a direction θ east of north; the displacement vector B has a length Ls and a direction west of north. What are the magnitude and direction of Ax B? (b) B x A? (c) Write out the vector Ax B in terms of the unit vectors i, j, and k. [15 pts]
(2) A boat with a maximum speed with a width d. The river is flowing with...
(2) A boat with a maximum speed with a width d. The river is flowing with speed V. (a) Traveling in a straight line (i.e perpendicular to the shore) how long does it take the boat to et to a point directly across? (b) What is the fastest possible crossing time to any point on the opposite shore? [20 pts] v (relative to the water) is on one shore of a river
URGENT A 400.0-m-wide river flows from west to east at 30.0 m/min. Your boat moves at...
URGENT A 400.0-m-wide river flows from west to east at 30.0 m/min. Your boat moves at 110 m/min relative to the water no matter which direction you point it. To cross this river, you start from a dock at point A on the south bank. There is a boat landing directly opposite at point B on the north bank, and also one at point C, 75.0 m downstream from B a)Where on the north shore will you land if you...
A river flows from west to east with a speed of 3m/s. A boy swims north...
A river flows from west to east with a speed of 3m/s. A boy swims north across the river with a speed of 2m/s relative to the water. (a) What is the speed of the boy relative to the shore? (b) What is the boys direction relative to the shore?
1. A car travels 30 miles north, then 10 miles east. The displacement vector is X...
1. A car travels 30 miles north, then 10 miles east. The displacement vector is X miles north, Y miles east. A) What is X? B) What is Y? 2. A car travels 30 miles north, then 10 miles east, then 20 miles west, then 2 miles south. The displacement vector is X miles north, Y miles east. A) What is X? B) What is Y? (beware of signs) 3. A car travels 30 miles northwest. The displacement vector is...
A 230-m-wide river flows due east at a uniform speed of 2.1 m/s. A boat with...
A 230-m-wide river flows due east at a uniform speed of 2.1 m/s. A boat with speed of 7.8 m/s relative to the water leaves the south bank of the river pointed in a direction 35 degrees west of north. What is the magnitude of the boat's velocity relative to the ground (in m/s)? Enter only the numerical part of the answer in the box Question 2 1 pts A 212-m-wide river flows due east at a uniform speed of...
Displacement vector A points due east and has a magnitude of 2.98 km. Displacement vector B...
Displacement vector A points due east and has a magnitude of 2.98 km. Displacement vector B points due north and has a magnitude of 1.54 km. Displacement vector C boints due west and has a magnitude of 1 km. Displacement vector D points due south and has a magnitude of 1.4 km. Find the magnitude and direction (relative to due east) of the resultant vector A +B+C+D. magnitude direction km ocounterdlockwise from due east Additional Materials section 1 8
3 400 29. Water traveling along a straight portion of a river normally flows fastest in...
3 400 29. Water traveling along a straight portion of a river normally flows fastest in the middle, and the speed slows to almost zero at the banks. Consider a long straight stretch of river flowing north, with parallel banks 40 m apart. If the maxi- mum water speed is 3 m/s, we can use a quadratic function as a basic model for the rate of water flow x units from the west bank: f(x) x(40 – x). (a) A...
Displacement vector A points due east and has a magnitude of 2.26 km. Displacement vector B...
Displacement vector A points due east and has a magnitude of 2.26 km. Displacement vector B points due north and has a magnitude of 1.18 km. Displscement vector C points due west and has a magnitude of 1.4 km. Displacement vector D points due south and has a magnitude ef 1.4 km. Find the magnitude and direction (relative to du east) of the resultant vector A + B+C D. magnitude direction kim e counterclockwise from due east Section 1.8
Displacement vector points due east and has a magnitude of 3.18 km. Displacement vector points due...
Displacement vector points due east and has a magnitude of 3.18 km. Displacement vector points due north and has a magnitude of 9.11 km. Displacement vector points due west and has a magnitude of 6.21 km. Displacement vector points due south and has a magnitude of 2.86 km. Find (a) the magnitude of the resultant vector + + + , and (b) its direction as a positive angle relative to due west.
(1) The displacement vector A as a length LA and a direction θ east of north; the displacement vector B has a length Ls and a direction west of north. What are the magnitude and direction of Ax B? (b) B x A? (c) Write out the vector Ax B in terms of the unit vectors i, j, and k. [15 pts]
(2) A boat with a maximum speed with a width d. The river is flowing with speed V. (a) Traveling in a straight line (i.e perpendicular to the shore) how long does it take the boat to et to a point directly across? (b) What is the fastest possible crossing time to any point on the opposite shore? [20 pts] v (relative to the water) is on one shore of a river
1. A car travels 30 miles north, then 10 miles east. The displacement vector is X miles north, Y miles east. A) What is X? B) What is Y? 2. A car travels 30 miles north, then 10 miles east, then 20 miles west, then 2 miles south. The displacement vector is X miles north, Y miles east. A) What is X? B) What is Y? (beware of signs) 3. A car travels 30 miles northwest. The displacement vector is...
A 230-m-wide river flows due east at a uniform speed of 2.1 m/s. A boat with speed of 7.8 m/s relative to the water leaves the south bank of the river pointed in a direction 35 degrees west of north. What is the magnitude of the boat's velocity relative to the ground (in m/s)? Enter only the numerical part of the answer in the box Question 2 1 pts A 212-m-wide river flows due east at a uniform speed of...
Displacement vector A points due east and has a magnitude of 2.98 km. Displacement vector B points due north and has a magnitude of 1.54 km. Displacement vector C boints due west and has a magnitude of 1 km. Displacement vector D points due south and has a magnitude of 1.4 km. Find the magnitude and direction (relative to due east) of the resultant vector A +B+C+D. magnitude direction km ocounterdlockwise from due east Additional Materials section 1 8
3 400 29. Water traveling along a straight portion of a river normally flows fastest in the middle, and the speed slows to almost zero at the banks. Consider a long straight stretch of river flowing north, with parallel banks 40 m apart. If the maxi- mum water speed is 3 m/s, we can use a quadratic function as a basic model for the rate of water flow x units from the west bank: f(x) x(40 – x). (a) A...
Displacement vector A points due east and has a magnitude of 2.26 km. Displacement vector B points due north and has a magnitude of 1.18 km. Displscement vector C points due west and has a magnitude of 1.4 km. Displacement vector D points due south and has a magnitude ef 1.4 km. Find the magnitude and direction (relative to du east) of the resultant vector A + B+C D. magnitude direction kim e counterclockwise from due east Section 1.8
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