A particle moving in a vertical plane under the action of gravity is known as a bprojectile/b.
bHorizontal projection/b
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The horizontal motion of a projectile is modelled as having constant velocity ((a = 0)). The forumla (s = vt) can be used.
The vertical motion of a projectile is modelled as having constant acceleration due to gravity ((a = g)). The (suvat) equations can be used.
Unless otherwise stated, use (g) = 9.8 mssup-2/sup.
bProjection at an angle/b
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A particle is projected with initial velocity iU/i at an angle iα/i above the horizontal.
The velocity can be resolved into horizontal and vertical components:
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(\cos{α} = \dfrac{ux}{U} \implies u_x = U\cos{α} )
(\sin{α} = \dfrac{uy}{U} \implies u_y = U\sin{α} )
The horizontal component of the initial velocity is (U\cos{α}).
The vertical component of the initial velocity is (U\sin{α}).
A projectile reaches its maximum height when the vertical component of its velocity is equal to 0.