A body travels 102.5 m in second and 115.0 m in second. The acceleration is

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Solution

Q.
A body travels 102.5 m in $n^{t h}$ second and 115.0 m in ${(n + 2)}^{t h}$ second. The acceleration is [2024]

1 $5 m / s^{2}$

2 $12.5 m / s^{2}$

3 $6.25 m / s^{2}$

4 $9 m / s^{2}$

Ans.
(3)

$S_{n t h} = u + \frac{a}{2} (2 n - 1)$

$102.5 = u + \frac{a}{2} (2 n - 1)$

   $115 = u + \frac{a}{2} (2 n + 4 - 1)$

Equation (ii) - (i)

   $115 - 102.5 = \frac{a}{2} {2 n + 3 - 2 n + 1} = \frac{a}{2} \times 4 = 2 a$

   $\Rightarrow a = \frac{12.5}{2} = 6.25 m / s^{2}$

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