What is vector and resultant velocity?

Updated: 4/28/2022
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A vector is used to represent direction and magnitude of speed. Velocity is the speed of an object and a specification of its direction of motion. Speed describes only how fast an object is moving, whereas velocity gives both how fast and in what direction the object is moving. Therefore a vector can be used to represent a velocity. The term "resultant velocity" implies a change in velocity which can be determined using vector analysis.

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Q: What is vector and resultant velocity?
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What will happen if all components of a vector are reversed in direction?

Then the resultant vector is reversed.

What are the ways of determining the resultant vector?

You can do it graphically by drawing the vectors with the end of the first touching the beginning of the second, the end of the second touching the beginning of the third, and so on, being careful to maintain the direction and the scale of the magnitude of each. The resultant is then the vector that starts at the beginning of the first vector and ends at the end of the last vector. You should get the same resultant no matter what order you put the vectors in. You can do it matematically by trigonometrically separating each vector into its x and y components, adding together all the x's and adding together all the y's, then calculating the resultant. Think of each vector as the hypotenuse of a right triangle. After adding together the x's and y's, the two sums are the two sides of a right triangle whose hypotenuse is the resultant.

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 angle between two vectors if their sum is to be maximum?

The resultant vector has maximum magnitude if the vectors act in concert. That is, if the angle between them is 0 radians (or degrees). The magnitude of the resultant is the sum of the magnitudes of the vectors.For two vectors, the resultant is a minimum if the vectors act in opposition, that is the angle between them is pi radians (180 degrees). In this case the resultant has a magnitude that is equal to the difference between the two vectors' magnitudes, and it acts in the direction of the larger vector.At all other angles, the resultant vector has intermediate magnitudes.

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.

Related questions

How do you find resultant velocity?

When you combine 2 velocities that are in the same directions, add them together to find the resultant velocity. When you combine 2 velocities that are in opposite directions, subtract the smaller velocity from the larger velocity to find the resultant velocity.

What is a resultant velosity?

Resultant velocity is the overall velocity of an object when taking into account both its speed and direction. It is calculated by combining the individual velocities of the object using vector addition. The resultant velocity represents the net effect of all the individual velocities acting on the object.

What is the equation for resultant velocity?

The equation for resultant velocity is the vector sum of the individual velocities. It can be calculated using the Pythagorean theorem in two dimensions, or by combining the x and y components of velocity using vector addition. Mathematically, it is represented as: v(resultant) = sqrt[(v1)^2 + (v2)^2 + 2v1v2cos(theta)]

What is the angel when vector a is same as vector b and there resultant is same as given vector a and b?

If vector a and b are truly identical, their resultant angle will be the same. Their resultant velocity will not be the same, however. Assuming you mean the magnitudes are the same, the two vectors will be at an angle of 120o

How do you find resultant velocity with perpendicular velocities?

To find the resultant velocity from two perpendicular velocities, you can use the Pythagorean theorem. Square each velocity, sum the squares, and then take the square root of the total to find the magnitude of the resultant velocity. The direction of the resultant velocity can be determined using trigonometry, typically with the arctangent function.

What is a Resultant velocity?

Resultant velocity is the single velocity that represents the net effect of multiple velocities acting on an object. It is calculated by vector addition, taking into account both the magnitude and direction of each individual velocity.

When a rectangle is constructed in order to add velocities what represents the resultant of the velocities?

The diagonal of the rectangle represents the resultant of the velocities when added using vector addition. The magnitude and direction of this diagonal give the magnitude and direction of the resultant velocity vector.

What is the result if you subtract a velocity vector to another velocity vector?

The result will also be a velocity vector. Draw the first vector. From its tip draw the negative of the second vector ( ie a vector with the same magnitude but opposite direction). The the resultant would be the vector with the same starting point as the first vector and the same endpoint as the second. If the two vectors are equal but opposite, you end up with the null velocity vector.

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.

How would you compute the resultant velocity given a linear velocity and an angular velocity?

You can calculate the resultant velocity by combining the linear velocity and the tangential velocity due to the angular velocity. The resultant velocity is the vector sum of these two velocities, which you can calculate using vector addition. The formula is v_resultant = sqrt(v_linear^2 + v_tangential^2), where v_linear is the linear velocity and v_tangential is the tangential velocity due to angular velocity.

How do you find missing vector if resultant is given?

The Resultant Vector minus the other vector

What is meant by rectangular triangle componenets of a vector?

If you plotted the original path and velocity, and the path and velocity of the 'impacting' force, then the third leg of the triangle will be the resultant path and velocity.