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12 Feb 2011 11:46:20 IST

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Minimum Velocity ? [2D-Motion]

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A projectile passes thru the point (3,4). Then the minimum velocity of projection required=? If it is thrown from the origin?

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Juhi Sharma

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Joined: 22 May 2009

Posts: 2467

25 May 2012 12:11:58 IST

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ucos@t=3

usin@t-0.5*g*t^2=4

u^2*tan@*3-0.5*g*9*sec^2@=4*u^2

u^2(tan@-4)=45sec^2@

du/dt=90*sec^2@tan@/4-tan@+45sec^4@/(tan@-4)^2

du/dt=0

put above equal to zero to get @ and put in 1st to get the u

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