Motion in A Plane

Physics Part I

Physics

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Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of 72 km/hr in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 1 m/s^{2}. If after 50 s, the guard of B just brushes past the driver of A, what was the original distance between them?

Here,

Velocity of train A,Â Â

Velocity of train B,Â

Â

Acceleration of train A,Â Â Â Â

Acceleration of train B,Â

Let initially A be ahead of B by a distance d. Let S_{B}Â and S_{A}Â be the distances travelled by trains B and A respectively in 50s.

As at t = 50 s the position of both the trains is same.

Therefore,Â

Â Â Â Â Â Â Â Â Â Â Â Â Â Â

Now,

Â Â Â

Â

Â

Â Â Â

âˆ´ original distance between them is,Â

Â Â Â 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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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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