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For a ground-to-ground projectile, an object is at point A at t = T3, at point B at t = 5T6 and reaches theground at t = T. The difference in heights between points A and B is

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a

gT26

b

gT212

c

gT218

d

gT224

answer is D.

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Detailed Solution

As, T=2uyg⇒uy=gT2⇒ hA=uytA-12gtA2=uy2uy3g-12g2uy3g2=49uy2g=49ggT22=gT29 ∵uy=gT2⇒ hB=uy56×2uy9-12×g×56×2uyg2=518uy2g=518ggT22=572gT2∴ hA-hB=gT224

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