Solve the following :


A body starts slipping down an incline and moves half meter in half second. How long will it take to move the next half meter?


In the first half metre,

$\mathrm{u}=0 \mathrm{~m} / \mathrm{s}, \mathrm{s}=0.5 \mathrm{~m}, \mathrm{t}=0.5 \mathrm{~s}$

$v=0+(0.5 \times 4)=2 \mathrm{~m} / \mathrm{s}$

$s=u t+1 / 2 a t^{2}$



For the next half metre, $u=2 \mathrm{~m} / \mathrm{s}, \mathrm{a}=4 \mathrm{~m} / \mathrm{s}^{2}, \mathrm{~s}=0.5 \mathrm{~m}$

$0.5=2 t+(1 / 2)(4) t^{2}$

On solving, t=0.2027 sec

Time taken to cover the next half metre is $0.21 \mathrm{~s}$.

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