Physics, asked by 2305438, 7 months ago

State two ifferences between relative an resultant velocity. First person to give a proper answer will be marke brainliest.
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Answers

Answered by Anonymous
1

Answer:

Resultant velocity is an alternative (and in my opinion less satisfactory) name for relative velocity. Ex: if the velocity of the wind is u and the velocity of the plane relative to the wind is v, then the velocity of the plane relative to the ground is u + v, which is sometimes called the resultant velocity since it is the resultant of the two vectors also in a connected(with strings) pulley system,how can we calculate the acceleration and velocities of the pulleys and the masses connected onto it if there's only one string, call the height of one of the pulleys "a", and see what happens to the heights of the other items then differentiate once for speed, and twice for acceleration (if there's n strings, you need to start with the heights of n items, and solve the simultaneous equations).

Loosely, I'd say that relative velocity refers to how one observer in his own frame would see another moving object. Resultant velocity would be the velocity of an object (in some fixed reference frame) when there are more than one influences on its motion. OR, what you get when you start off by Resolving the motion of an object into two arbitrary directions (e..g. vertical and horizontal) to make your calculations easier. You then you add the two vectors together to get the overall resultant velocity. The word 'resultant' is used for the sum of many vectors in general (forces, acceleration. magnetic field etc.)

Answered by Anonymous
5

Answer:

• Relative Velocity = The relative velocity is the velocity of an object or observer B in the rest frame of another object or observer A.

For example, a boat crosses a river that is flowing at some rate or an airplane encountering wind during its motion. In all such instances, in order to describe the complete motion of the object, we need to consider the effect that the medium is causing on the object. While doing so, we calculate the relative velocity of the object considering the velocity of the particle as well as the velocity of the medium. Here, we will learn how to calculate the relative velocity.

Let us consider two objects, A and B moving with velocities Va and Vb with respect to a common stationary frame of reference, say the ground, a bridge or a fixed platform.

The velocity of the object A relative to the object B can be given as,

Vab = Va - Vb

Similarly, the velocity of the object B relative to that of object a is given by,

Vba = Vb - Va

From the above two expressions, we can see that,

Vab = - Vba

Although the magnitude of the both the relative velocities is equal to each other. Mathematically,

I Vab I = I Vba I

Hence, this is relative velocity.

• Resultant Velocity =

Resultant velocity is the velocity that is obtained by adding as vectors the velocities of a body in all dimensions of space, relative to some observer. A car moving west at three miles per hour and north at four miles per hour will be moving at five miles per hour resultant velocity. This is because three squared plus four squared is equal to five squared. Now, suppose you are sitting in the same train then your velocity relative to train zero, but your velocity relative to ground is v. This is your relative velocity. Now suppose that you are moving in the train with a velocity v1 w.r.t. the train,in the direction of the motion of the train,then your velocity w.r.t. ground will be v+v1. You can call v+v1 as your resultant velocity with respect to ground. Here, you have one velocity due to motion of the train and another velocity that is your own velocity w.r.t. train. Resultant velocity is calculated by having vector sum of all the different velocities/velocity components in the 3D space acting over a particle. For simpler problems, triangle law of vector addition and parallelogram law of vector addition is used (sometimes in many steps). For large number of components, superposition is the way to go. But overall, it is always vector sum of all.

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