A particle is projected vertically upwards from a point $A$ on the ground. It takes $t_1$ time to reach a point $B$ but it still continues to move up. If it takes further $t_2$ time to reach the ground from point B then height of point $B$ from the ground is
A particle is projected vertically upwards from a point $A$ on the ground. It takes $t_1$ time to reach a point $B$ but it still continues to move up. If it takes further $t_2$ time to reach the ground from point B then height of point $B$ from the ground is
- A
$\frac{1}{2}\,g{({t_1} + {t_2})^2}$
- B
$g\,{t_1}\,{t_2}$
- C
$\frac{1}{8}\,g{({t_1} + {t_2})^2}$
- D
$\frac{1}{2}\,g\,{t_1} {t_2}$
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