# A rocket is launched vertically from the surface of earth with an initial velocity v. How far above the surface….

Q: A rocket is launched vertically from the surface of earth with an initial velocity v. How far above the surface of earth it will go ? Neglect the air resistance.

(a) $\displaystyle R(\frac{2 g R}{v^2}-1)^{-1/2}$

(b) $\displaystyle R(\frac{2 g R}{v^2}-1)$

(c) $\displaystyle R(\frac{2 g R}{v^2}-1)^{2}$

(d) $\displaystyle R(\frac{2 g R}{v^2}-1)^{-1}$

Ans: (c)