46 squared + 23 squared = the resultant displacement squared.
Pythagoras' theorem.
fu
20m
80
25 m/s for 140 sDistance = Rate X Timeso..........due west displacement = 3500 meters ( call this a )due south displacement = 1005 meters ( call this b )you are looking for the hypotenuse of a triangle and your direction will be south westerlya^2 + b^2 = c^2 ( you want c )c = sqrt(a^2 + b^2)= 3641.43 meters as magnitudeDirection of displacement from start point is arctan (1005 / 3500) = 16.021 degrees.For interest the true compass direction from start point will be 270 - 16.021 = 253.98 degrees (true) on a chart. Compass degrees measure clockwise, starting at North is 0°
south
30 meters south
fu
find the resultant of the following displacement a=20km 30south of east
100 km and 75 km are displacements, NOT velocities. The resultant displacement is 25 km north,
The resultant is 2 km South.
6.3 meter
the east /west distances are the same but the north south are different. so subtract the north from the south distances and you end up with 60 meters south.
20 meters
zero
20m
80