Motion in A Plane

Physics Part I

Physics

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A particle A is moving along a straight line with velocity 5 m/s and another particle B has a velocity 8 m/s at angle 37° to the path of A. Find the relative velocity of B w.r.t. A.

Consider, be the velocities of particles A and B respectively.

The relative velocity of B relative to A is given by,

To find we will first change into and then add to as shown in figure.

We can see that, makes an angle of with .

Therefore will subtend an angle with

Now,

So,

The angle that the relative velocity makes with is,

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What is a scalar quantity?

A physical quantity that requires only magnitude for its complete specification is called a scalar quantity.

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What are the basic characteristics that a quantity must possess so that it may be a vector quantity?

A quantity must possess the direction and must follow the vector axioms. Any quantity that follows the vector axioms are classified as vectors.

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What is a vector quantity?

A physical quantity that requires direction along with magnitude, for its complete specification is called a vector quantity.

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