19.There are two parallel planes ,each inclined to the horizontal at an angle @. a particle is projected from a point mid way between the foot of the two planes so that it grazes one of the planes and strikes the other at right angle . Find the angle of projection of the partical

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Q. Two parallel straight lines are inclined to the horizon at an angle

α

. A particle is projected from a point mid way between them so as to graze one of the lines and strikes the other at right angle. Show that if

θ

is the angle between the direction of projection and either of lines, then

t a n θ = (\sqrt{2} - 1) c o t α

Q. Two parallel straight lines are inclined to the horizon at an angle

α

. A particle is projected from a point mid way between them so as to graze one of the lines and strikes the other at right angle. Show that if

θ

is the angle between the direction of projection and either of lines, then

tan θ = (\sqrt{2} - 1) cot α

A projectile is thrown with velocity 50m/s towards an inclined plane from ground such that it strikes the inclined plane perpendicular. The angle of projection of projectile is 53° with the horizontal and inclined plane is inclined at an angle of 45° to the horizontal. Find (a) time of flight (b) the distance between the point of projection and the foot of inclined plane.

Q. A particle is projected at an angle

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with the horizontal from the foot of a plane, whose inclination to the horizontal is

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. What is the value of

tan (α - β)

if it strikes the plane at right angle?

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