A body is thrown vertically up with a velocity $u$. It passes three points $A,B$ and $C$ in its upward journey with velocities $\frac{u}{2},\frac{u}{3}$ and $\frac{u}{4}$ respectively. The ratio of the separations between points $A$ and $B$ and between $B$ and $C\ i.e.,\frac{AB}{BC}$ is

Question

Dr. Abubacker · Accepted Answer

(d) $A \Rightarrow \frac{u^{2}}{4} - u^{2} = - 2gh_{1}$
$B \Rightarrow \frac{u^{2}}{9} - u^{2} = - 2gh_{2}$
$C \Rightarrow \frac{u^{2}}{16} - u^{2} = - 2gh_{3}$
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$	herefore AB = \frac{u^{2}}{2g}\left\{ \frac{8}{9} - \frac{3}{4} ight\} = \frac{u^{2}}{2g}.\frac{5}{36}$
$BC = \frac{u^{2}}{2g}\left\{ \frac{15}{16} - \frac{8}{9} ight\} = \frac{u^{2}}{2g}.\frac{7}{144}$
$	herefore\frac{AB}{BC} = \frac{5}{36} 	imes \frac{144}{7} = \frac{20}{7}$

Q. A body is thrown vertically up with a velocity $u$. It passes three points $A,B$ and $C$ in its upward journey with velocities $\frac{u}{2},\frac{u}{3}$ and $\frac{u}{4}$ respectively. The ratio of the separations between points $A$ and $B$ and between $B$ and $C\ i.e.,\frac{AB}{BC}$ is

Explanation

Reviewed by Dr. Abubacker

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