Answer :

Let’s consider the X-axis parallel to the inclined surface and Y-axis perpendicular to it. v be the speed of the projectile.

Range=R, x component of velocity = vsinθ

y component of velocity = vcosθ

x component of acceleration = gsinθ

y component of acceleration = gcosθ

There is no displacement in the y direction.

By 2nd kinematic equation in y-direction,

Now let’s calculate the distance along the plane the particle hit = R,

By 2nd kinematic equation in x-direction,

Substituting the value of t in the above equation.

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