42. A bullet is fired vertically upward from the Earth's surface and reaches a height of 42 meters above the Earth's surface, and its kinetic energy decreases by 30\%. What is the maximum height (in meters) this bullet reaches above the Earth's surface?
(air resistance is negligible and $g = 10\,\dfrac{\mathrm{m}}{\mathrm{s}^2}$)
(1) 96 (2) 120 (3) 140 (4) 149

A ball is thrown up with a certain velocity so that it reaches a height $h$. Find the ratio of the two different times of the ball reaching $\frac { h } { 3 }$ in both the directions.
(1) $\frac { \sqrt { 2 } - 1 } { \sqrt { 2 } + 1 }$
(2) $\frac { 1 } { 3 }$
(3) $\frac { \sqrt { 3 } - \sqrt { 2 } } { \sqrt { 3 } + \sqrt { 2 } }$
(4) $\frac { \sqrt { 3 } - 1 } { \sqrt { 3 } + 1 }$

A ball is thrown up vertically with a certain velocity so that, it reaches a maximum height $h$. Find the ratio of the times in which it is at height $\frac { h } { 3 }$ while going up and coming down respectively.
(1) $\frac { \sqrt { 2 } - 1 } { \sqrt { 2 } + 1 }$
(2) $\frac { \sqrt { 3 } - \sqrt { 2 } } { \sqrt { 3 } + \sqrt { 2 } }$
(3) $\frac { \sqrt { 3 } - 1 } { \sqrt { 3 } + 1 }$
(4) $\frac { 1 } { 3 }$