A rocket of mass M is launched vertically from the surface of the earth with an initial speed V. Assuming the radius of the earth to be R and negligible air resistance, the maximum height attained by the rocket above the surface of the earth is [AMU 1995]

Question

A rocket of mass M is launched vertically from the surface of the earth with an initial speed V. Assuming the radius of the earth to be R and negligible air resistance, the maximum height attained by the rocket above the surface of the earth is                                           [AMU 1995]

TuteeHUB · Accepted Answer

$$R\left( \frac{2gR}{{{V}^{2}}}-1 \right)$$

TuteeHUB · Answer

$$R/\left( \frac{gR}{2{{V}^{2}}}-1 \right)$$

TuteeHUB · Answer

$$R\,\left( \frac{gR}{2{{V}^{2}}}-1 \right)$$

TuteeHUB · Answer

$$R/\left( \frac{2gR}{{{V}^{2}}}-1 \right)$$

1.	A rocket of mass M is launched vertically from the surface of the earth with an initial speed V. Assuming the radius of the earth to be R and negligible air resistance, the maximum height attained by the rocket above the surface of the earth is [AMU 1995]
A.	\[R/\left( \frac{gR}{2{{V}^{2}}}-1 \right)\]
B.	\[R\,\left( \frac{gR}{2{{V}^{2}}}-1 \right)\]
C.	\[R/\left( \frac{2gR}{{{V}^{2}}}-1 \right)\]
D.	\[R\left( \frac{2gR}{{{V}^{2}}}-1 \right)\]
Answer» D. \[R\left( \frac{2gR}{{{V}^{2}}}-1 \right)\]

A rocket of mass M is launched vertically from the surface of the earth with an initial speed V. Assuming the radius of the earth to be R and negligible air resistance, the maximum height attained by the rocket above the surface of the earth is [AMU 1995]

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