The velocity of a freely falling body when it strikes the ground is directly proportional to W t...

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The velocity of a freely falling body when it strikes the ground is directly proportional to
W the square of the time taken by it to strike the ground. It takes 5 seconds to strike the ground, with a velocity of \( 10 \mathrm{~m} / \mathrm{sec} \). If it strikes the ground with the velocity of \( 40 \mathrm{~m} / \mathrm{sec} \), then for how long would it have travelled?
(a) \( 7.5 \mathrm{sec} \)
(b) \( 2.5 \mathrm{sec} \)
(c) \( 10 \mathrm{sec} \)
(d) \( 20 \mathrm{sec} \)
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