Question

What is horizontal range projectiles derive an expression for it

Answer 1

The horizontal range of a projectile is the distance along the horizontal plane it would travel, before reaching the same vertical position as it started from. The horizontal range depends on the initial velocity v0, the launch angle θ, and the acceleration due to gravity. The unit of horizontal range is meters (m).

Answer 2

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Expression of Horizontal Range:

we know that

$V= \frac{D}{T}$

Horizontal Range= Velocity along Horizontal Range × Time of Flight

$R= U \cos Θ \times \frac{2 \: U \sinΘ}{g} \\ R= { U}^{2} \: \frac{2 \sin Θ. \cosΘ }{g} \\ ⟹R= \frac{ {U}^{2} \sin2Θ}{g}$

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