A rocket is launched vertical from the surface of the earth radius $R$ with an initial speed $v$ . If atmospheric resistance is neglected, then the maximum height attained by the rocket is
$h = \frac{R}{⎛ ⎜ ⎝ \frac{2 g R}{v^{2}} - 1 ⎞ ⎟ ⎠}$
$h = \frac{R}{⎛ ⎜ ⎝ \frac{2 g R}{v^{2}} + 1 ⎞ ⎟ ⎠}$
$h = \frac{R^{2}}{⎛ ⎜ ⎝ \frac{2 g R}{v^{2}} - 1 ⎞ ⎟ ⎠}$
$h = \frac{R^{2}}{⎛ ⎜ ⎝ \frac{2 g R}{v^{2}} + 1 ⎞ ⎟ ⎠}$

Question

A rocket is launched vertical from the surface of the earth radius $R$ with an initial speed $v$ . If atmospheric resistance is neglected, then the maximum height attained by the rocket is
$h = \frac{R}{⎛ ⎜ ⎝ \frac{2 g R}{v^{2}} - 1 ⎞ ⎟ ⎠}$
$h = \frac{R}{⎛ ⎜ ⎝ \frac{2 g R}{v^{2}} + 1 ⎞ ⎟ ⎠}$
$h = \frac{R^{2}}{⎛ ⎜ ⎝ \frac{2 g R}{v^{2}} - 1 ⎞ ⎟ ⎠}$
$h = \frac{R^{2}}{⎛ ⎜ ⎝ \frac{2 g R}{v^{2}} + 1 ⎞ ⎟ ⎠}$

Toppr Admin · Accepted Answer