Motion in A Plane

Physics Part I

Physics

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Two cars A and B are moving with same speed 30km/hr in same direction with car B 5km behind the car A. Another car C moving in opposite direction crosses the two cars at an interval of 4 minutes. Find the speed of car C.

Let the car C be moving with velocity u km/hr.

Car B is 5 km behind the car A, therefore when the car C crosses car A, it is 5 km from car B.

Let us take left direction as positive and right direction as negative.Â

Â

Therefore,

Velocity of car B = -5 km/hr

Velocity of car C = + u km/hr

The relative velocity of car C w.r.t car B is,

Â Â Â v = Velocity of car C - Velocity of car

Â Â Â Â = u - (-5) = (u + 5) km/hr

Now the car C travels 5 km distance with relative velocity (u + 5) km/hr in 4 minutes.

Therefore, using the relation s = ut, we have

Â Â Â Â Â Â Â Â

Â Â Â Â

Â Â Â Â , is the speed of car C.Â

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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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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.Â

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