A rocket is launched vertical from the surface of the earth of radius R with an initial speed v. If atmospheric resistance is neglected, then maximum height attained by the rocket is
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a
h=R2gRv2-1
b
h=R2gRv2+1
c
h=R22gRv2-1
d
h=R22gRv2+1
answer is A.
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Detailed Solution
12mv2=mgh1+hR .......(i)On solving Eq. (i) for h, we get∴ h=v22g-v2R=R2gRv2-1