Relative to the starting point, the coordinates of the end point are (10-7, 5) or (3, 5)
So the magnitude of the resultant vector is sqrt(32 + 52) = sqrt(9 + 25) = sqrt(34) = approx 5.83 km.
The bearing (measured from North) is arctan(3/5) = arctan(0.6) = 031 degrees.
The resultant velocity of a plane is 75 km/hr.
If the airspeed is maintained at 200 km/hour with a 50 km/hour tailwind, then the speed over ground will be 250 km/hour (resultant velocity).
zero, in any direction
If two vectors with equal magnitudes 'M' have perpendicular directions, then the resultant ismidway between them ... 45 degrees from each ... and the magnitude of the resultant isM sqrt(2).84 km/hr North + 84 km/hr East = 84 sqrt(2) = 118.794 km/hr Northeast (rounded).
4*sin(10) = 0.6945927107 or about 0.7 km
The resultant velocity of the plane relative to the ground can be calculated using vector addition. Given the plane's speed due north (100 km/h) and the crosswind speed (100 km/h westward), use the Pythagorean theorem to find the resultant velocity. The resultant velocity will be 141 km/h at an angle of 45 degrees west of north.
The wind is blowing at a vector of 225 degrees with a magnitude of 75. The original heading is on a vector of zero with a magnitude of 2500. The resultant vector is then 15 degrees east of north at 203.98 kmh.
This problem can be solved using the pythagorean theoremA2 + B2 = C2A = 90 km/hB = 50 km/h 902 + 502 = 10,600√10,600 = 103.0C = 103 km/h
A = 230kmB = 340kmR = ?First, find the horizontal and vertical components of A& B.Ay = 0kmAx= 230kmNote: The angle, theta, is 45°, since NE is 45° from horizontal.By = 340km * sin(45°) = 240.42kmBx = 340km * cos(45°) = 240.42kmNow, add the respective components to get the Rcomponents.Ry = Ay + By = 0km + 240.42km = 240.42kmRx = Ax + Bx = 230km + 240.42km = 470.42kmFinally, use the Pythagorean theorem to get R.R = sqrt(Rx2 + Ry2) = 528.29kmTherefore, the resultant vector, R, is 528.29km.
100 km and 75 km are displacements, NOT velocities. The resultant displacement is 25 km north,
The resultant velocity of a plane is 75 km/hr.
The resultant velocity of a plane is 125 km/hr.
If the airspeed is maintained at 200 km/hour with a 50 km/hour tailwind, then the speed over ground will be 250 km/hour (resultant velocity).
km/s can be either a vector or a scalar quantity. It is a unit of speed, which is scalar, but if this speed is in a specific direction, thereby becoming velocity, it is vector.
The resultant velocity of a boat is 17 km/hr and the direction of the boat is SW.
The resultant is 2 km South.
zero, in any direction