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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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Show that if the projectile attains the maximum height of H and falls at a distance R, then it is projected at an angle θ given by <pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
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Let the speed with which the projectile be projected at angle θ  be 'u'.

The maximum height and the horizontal range is given by,

Horizontal range, straight R equals fraction numerator straight u squared sin 2 straight theta over denominator straight g end fraction

Maximum height, straight H equals fraction numerator straight u squared sin squared straight theta over denominator 2 straight g end fraction 
Ratio of horizontal range to maximum height is given by, 

∴               straight R over straight H equals fraction numerator 2 s i n 2 straight theta over denominator s i n squared straight theta end fraction equals 4 space c o t space straight theta

rightwards double arrow          t a n space straight theta space equals space fraction numerator 4 straight H over denominator straight R end fraction

That is, 
                  straight theta equals t a n to the power of negative 1 end exponent open parentheses fraction numerator 4 straight H over denominator straight R end fraction close parentheses, is the angle of projection. 
122 Views

Give three examples of vector quantities.

Force, impulse and momentum.
865 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

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

Give three examples of scalar quantities.

Mass, temperature and energy
769 Views

What is a scalar quantity?

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

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