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at a time t after being projected from the ground, a projectile is displaced x units horizontally and y units vertically above its point of projection. (use any variable or symbol stated above along with the following as necessary: g for the acceleration due to gravity.)

Sagot :

The vertical component of the initial velocity is [tex]v_{0y}[/tex] = ( y / t ) + [ ( 1/2) gt ]

The horizontal component of the initial velocity is [tex]v_{0x}[/tex] = x / t

We know that,

x = [tex]v_{0x}[/tex] t

y = [tex]v_{0y}[/tex] t - ( 1/2) g[tex]t^{2}[/tex]

where,

x = Horizontal displacement of the object

y = Vertical displacement of the object

g = Acceleration due to gravity

t = Time of motion

For horizontal motion there is constant velocity and for vertical motion there is uniform acceleration.

The vertical component of the initial velocity is given as

y = [tex]v_{0y}[/tex] t - ( 1/2) g[tex]t^{2}[/tex]

[tex]v_{0y}[/tex] t = y + ( 1/2) g[tex]t^{2}[/tex]

[tex]v_{0y}[/tex] = ( y/t ) + ( 1/2 ) gt

The horizontal component of the initial velocity is given as

x = [tex]v_{0x}[/tex] t

[tex]v_{0x}[/tex] = x / t

A projectile motion is the motion of an object thrown in air at some angle with the horizontal.

Therefore,

The vertical component of the initial velocity is [tex]v_{0y}[/tex] = ( y / t ) + [ ( 1/2) gt ]

The horizontal component of the initial velocity is [tex]v_{0x}[/tex] = x / t

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