The minimum speed in m/s with which a projectile must be thrown from origin at ground so that it is able to pass through a point P (30 m, 40 m) is:(g = 10 m/s 2 )
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Ans. 0030
Sol. As y = x tan θ – 
(1 + tan 2 θ )
for (a, b), ga 2 tan 2 θ – 2au 2 tan θ + (ga 2 + 2bu 2 ) = 0
as discriminant must be positive
4 a 2 u 2 – 4ga 2 (ga 2 + 2bu 2 ) ≥ 0
Solving,
u ≥ 
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