The distance travelled by a body in last second of upward journey is D. If the velocity of projection is halved then the distance travelled in last second of upward journey is
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a
D2
b
2D
c
D
d
D4
answer is C.
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Detailed Solution
Distance covered in nth second= Sn=U+gn−12 here initial velocity=U;acceleration due to gravity=g 'n′ is last second, n=Ug⇒D=U−gUg−12⇒D=U−U+g2⇒D=g2---(1)case2 initial velocity=U2; lastsecond=U2g Sn=U+gn−12Sn=U2-gU2g−12Sn=g2substitute equation(1)Sn=D