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Mechanics Help (1 Viewer)

Andy005

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A particle is projected with speed V and angle of elevation alpha from point O on the edge of a cliff of height h. When the particle hits the ground its path makes an angle arctan(2tan(alpha)) with the horizontal.

Screen Shot 2018-07-28 at 11.34.49 am.png

Why is tan(beta)=vertical velocity/horizontal velocity?

Thanks.
 

fan96

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If the direction of the projectile's velocity makes an angle with the horizontal, then it is true that:



At the point where the projectile hits the ground,

(the velocity vector of the projectile is pointing downwards, so is in the fourth quadrant).



Now:

 

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