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Motion in A Plane

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Physics Part I

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Physics

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CBSE Gujarat Board Haryana Board

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Class 10 Class 12
A cricketer can throw a ball to a maximum horizontal distance of 100 m. How much high above the ground can the cricketer throw the same ball?

Let, u be the velocity of projection of the ball. The motion of the ball is along vertical direction. 

The ball will cover maximmum horizontal distance when angle of projection with horizontal is 45o

 straight R subscript max space equals space straight u squared over straight g

Here comma space straight u squared over straight g space equals space 100 space straight m comma
straight u subscript straight y space equals space straight u comma space straight a subscript straight y space equals space minus straight g comma space straight v subscript straight y space equals space 0

straight y subscript straight o space equals space 0 comma space straight y space equals space ? comma space straight t equals ?

As comma space straight v subscript straight y space equals space straight u subscript straight y plus space straight a subscript straight y straight t

therefore space space space 0 space equals space straight u space plus space left parenthesis negative straight g right parenthesis straight t space

rightwards double arrow space space space straight t space equals space straight u over straight g space
Also comma space straight y space equals space straight y subscript straight o space plus space straight u subscript straight y straight t space plus space 1 half straight a subscript straight y straight t squared space
therefore space space space space space straight y space equals space 0 space plus space straight u open parentheses bevelled straight u over straight g close parentheses space plus space 1 half open parentheses negative straight g close parentheses straight u squared over straight g squared
space space space space space space space space space space space space space equals straight u squared over straight g space minus space 1 half straight u squared over straight g space
space space space space space space space space space space space space space equals 1 half straight u squared over straight g space equals space 100 over 2 space equals space 50 space straight m



152 Views

What is a vector quantity?

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

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. 


814 Views

Give three examples of vector quantities.

Force, impulse and momentum.
865 Views

What is a scalar quantity?

A physical quantity that requires only magnitude for its complete specification is called a scalar quantity.
1212 Views

Give three examples of scalar quantities.

Mass, temperature and energy
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