A body is projected vertically upwards from the surface of earth with a velocity sufficient enough to carry it to infinity. The time taken by it to reach height \( h \) is _______ \( \text{s} \).
\( \sqrt{ \dfrac{R_e}{2g}} \left[ \left( 1 + \dfrac{h}{R_e} \right)^{3/2} - 1 \right] \)
\( \dfrac{1}{3} \sqrt{ \dfrac{2R_e}{g}} \left[ \left( 1 + \dfrac{h}{R_e} \right)^{3/2} - 1 \right] \)
\( \sqrt{ \dfrac{2R_e}{g}} \left[ \left( 1 + \dfrac{h}{R_e} \right)^{3/2} - 1 \right] \)
\( \dfrac{1}{3} \sqrt{ \dfrac{R_e}{2g} }\left[ \left( 1 + \dfrac{h}{R_e} \right)^{3/2} - 1 \right] \)
