The displacement in the n^thsecond is given by $S_{n} = 2 + 0 .4 n$ . Then initial velocity is $\frac{x}{10}$ unit. Then the value x is.

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answer is 22.

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Detailed Solution

$\begin{array}{l} S_{n} = 2 + 0 .4 n; \Rightarrow S_{n} = u + a (n + \frac{1}{2}) = u + an - \frac{a}{2}; \Rightarrow S_{n} = an + (u - \frac{a}{2}) ∴ an = 0 .4 n; a = 0 .4 ∴ u - \frac{a}{2} = 2 \\ u = 2 .2 \end{array}$

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