what is the minmum velocity of a projectile such that it touches 4 vertices of a regular hexagon??
Balaji Venkatesh --- , 16 Years ago
Grade 12
Mechanics> Projectile motion...
1 Answers
AskIITians Expert PRASAD IIT Kharagpur
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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