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What equation can be used to calculate the vertical displacement of a non-horizontally launched projectile?

What equation can be used to calculate the horizontal displacement of a non-horizontally launched projectile?
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Let the Projectile is Fired with an Initial Velocity U at an angle theta with Horizontal

Therefore

Vertical Component of velocity = USin(theta)

As we know that

According toThird Equation of Motion

V^2 - U^2 = 2gS

So from this Equation we get the value of Vertical Displacement S

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Horizontal Component of velocity = UCos(theta)

As we know that

According to Second Equation of Motion

S' = ut + 0.5*a*t^2

For Horizontal Direction acceleration , a = 0 m/sec^2

Let the Time of Projectile be t

Therefore

S' = UCos(theta)*t

So from this we get the value of S'
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