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Two dimensional motion in which a body moves under the action of gravity.

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For example A missile fired from a launching pad . A football kicked by a player. A ball thrown by a crickter.

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A snowboarder doing a flip

Description automatically generated with medium confidence

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Consider a body which is projected with initial velocity u at a certain angle with respect to horizontal The path of projectile motion is called Trajectory and it is parabolic in nature.

Ux = u cos e
Uy=o
U sin
Ux = U cos e
o
Ux = U cos 9
Uy = -U sin 9
Range (R)

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Characteristics: The horizontal component of velocity remains constant throughout the flight. The vertical component of velocity changes uniformly and is zero at highest point.

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In projectile motion special convention is used whenever object is directed upward is considered positive and whenever object is directed downward is considered negative. In projectile motion acceleration is equal to  -g

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Ux = U cos 9
Uy = U sin
Ux = U cos 6
o
Ux = U cos 9
Uy = -U sin e
Range (R)

Resolving into horizontal and vertical components: 	 The horizontal component of acceleration is zero.                    a x  = 0                                         Vertical component of acceleration is                    a y  = -g Now find its final velocity at any time The horizontal velocity component is                   u x = u  cosƟ The vertical velocity component is u y  = u  sinƟ  -  gt

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Aeroplane taking off against dramatic sky

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Time at which projectile remains in air is called time of flight.

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Maximum vertical distance covered by projectile is called Height of projectile.

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Using 3 rd  equation of motion  2as = u f 2  – u 2 Where a = -g    u f   =0   u = u   sinƟ So above equation  become sinƟ ) 2  / 2g

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The maximum horizontal distance covered by projectile is called Range of projectile.

Projectile Motion

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