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What is the angle and the resultant vector of 10 km E and 5 km N and 7 km W?
Wiki User
β 12y ago
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.
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β 12y ago
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What is resultant velocity of the plane if a plane travels 100 km per hour to the north with a headwind of 25 km per hour towards the south?
The resultant velocity of a plane is 75 km/hr.
What is the resultant velocity of an airplane the normally flies 200 km per hour if it encounters a 50 km per hour tailwind?
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).
What is my result if i calculate the magnitude of the resultant of a pair of 84 km h velocity vectors that are at right angles to each other?
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).
What is the vector sum of 5 km east and 5 km west?
zero, in any direction
What would be the vertical height on a 4 kilometer long inclination with an angle of 10 degrees?
4*sin(10) = 0.6945927107 or about 0.7 km
A plane flying 100kmh due north encounters a crosswind of 100kmh from the east ie blowing westward What then is the planes velocity relative to the ground?
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.
A novice pilot sets a plane's controls thinking the plane will fly at 2.5 X 102 kmh to the north if the wind blows at 75 kmh toward the southeast what is the plane's resultant velocity?
The plane's resultant velocity can be found by adding the vectors of the plane's velocity and the wind's velocity. The plane's velocity to the north is 2.5 x 10^2 km/h, and the wind's velocity toward the southeast is 75 km/h. Using vector addition, the resultant velocity will be a combination of these two velocities.
What is the resultant velocity of the plane if an airplane flying toward 0 degree at 90.0 km per hour is being blown toward 90 degrees at 50.0 km per hour?
The resultant velocity can be found using vector addition. The component of velocity in the x-direction is 90 km/h, and in the y-direction is 50 km/h. Using the Pythagorean theorem, the resultant velocity magnitude is β(90^2 + 50^2) km/h = β(8100 + 2500) = β10600 β 103 km/h. The direction of the resultant velocity can be found using trigonometry: tanΞΈ = (50 / 90), so ΞΈ β 30.96 degrees. So, the resultant velocity of the airplane is approximately 103 km/h at an angle of 30.96 degrees from the original direction.
A sailboat sails 230 km E and then 340 km NE . Determine its resultant vector?
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.
Calculate the resultant of the pair of velocities 100 km north and 75 km south?
100 km and 75 km are displacements, NOT velocities. The resultant displacement is 25 km north,
What is resultant velocity of the plane if a plane travels 100 km per hour to the north with a headwind of 25 km per hour towards the south?
The resultant velocity of a plane is 75 km/hr.
What is resultant velocity of the plane if a plane travels 100 km per hour to the north with a tailwind wind of 25 km per hour towards the north?
The resultant velocity of a plane is 125 km/hr.
What is the resultant velocity of an airplane the normally flies 200 km per hour if it encounters a 50 km per hour tailwind?
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).
Is km s a vector quantity?
No, km/s is not a vector quantity. It is a scalar quantity that represents speed, which describes how fast an object is moving without specifying its direction.
What is the resultant velocity of a boat if it travels south across a river at 14 km per hr. It encounters a current flowing from east to west at 9 km per hour?
The resultant velocity of a boat is 17 km/hr and the direction of the boat is SW.
What is the correct displacement for the following vectors 4 km south 2 km north 5 km south and 5 km north?
The resultant is 2 km South.
What is my result if i calculate the magnitude of the resultant of a pair of 84 km h velocity vectors that are at right angles to each other?
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).
