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what is the minmum velocity of a projectile such that it touches 4 vertices of a regular hexagon??
For projectile to pass through four points A, B, C, D of a regular Hexagon of side a, we must throw the projective from A and its fall at D passing through B and C in between. for this we must have Range to be twive of maximum height, i.e 2 * (u^2 * sin^2(@)/ (2 * g)) = (u^2 * sin2@/ g) @ = angle of throw. Solving above we get @ = arctan(2) = 63.43 degrees. Putting aobe in any of equations of Range or height we have u = 4.95 * (a^0.5). a = side of hexagon.
For projectile to pass through four points A, B, C, D of a regular Hexagon of side a,
we must throw the projective from A and its fall at D passing through B and C in between.
for this we must have Range to be twive of maximum height,
i.e 2 * (u^2 * sin^2(@)/ (2 * g)) = (u^2 * sin2@/ g)
@ = angle of throw.
Solving above we get @ = arctan(2) = 63.43 degrees.
Putting aobe in any of equations of Range or height we have
u = 4.95 * (a^0.5).
a = side of hexagon.
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