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# A ball takes t seconds to fall from height $h_1$ and $2t$ seconds to falls from height $h_2$.Then $h_1/h_2$ is

$(a)\;4 \quad (b)\;2 \quad (c)\;0.5 \quad(d)\;0.25$

$h=\large\frac{1}{2}$$gt^2 \large\frac{h_1}{h_2}=\frac{\Large\frac{1}{2}gt^2}{\Large\frac{1}{2}g(\large 2t)^2} \large\frac{h_1}{h_2}=\frac{1}{4}$$=0.25$
Hence d is the correct answer.

edited Jul 28, 2014