A particle is projected from a point on the level ground and its height is h when at horizontal distances a and 2a from its point of projection. Find the velocity of projection.
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If 
is the velocity of projection and 
the angle of projection, the equation of trajectory is
With origin at the point of projection,
Since the projectile passes through two points 
and 
, then a and 2a must be roots of Eq. (ii),
Dividing Eqs (iii) by (iv), we get
From Eq. (iv),
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