Motion in A Plane

Physics Part I

Physics

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A person standing on a road has to hold his umbrella at 30^{0} with the vertical to keep the rain away. He throws the umbrella and starts running at 10 m/s. He finds that raindrops are hitting his head vertically. Find the speed of raindrops with respect to,Â

a) the road,

b) the moving person.

When a person is at rest with respect to ground, the rain is coming to him at an angle 30^{o} with the vertical, i.e., along OB.Â

As the person moves along OA with velocity 10 m/s, the relative velocity of rain w.r.t person is along OC as shown in fig. below.

Â Â Â Â Â Â Â Â Â Â Â Â Â

Here, oÂ

Therefore, velocity of rain w.r.t ground =Â Â

Velocity of person w.r.t. ground =Â

Velocity of rain w.r.t person =Â Â

a)

b)

InÂ Â

Â Â Â Â Â Â Â Â Â Â Â Â Â = 10/ (1/) = 10Â

Therefore, velocity of train w.r.t person = 10Â m/s 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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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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