A body travels $102.5 \mathrm{~m}$ in $\mathrm{n}^{ ext {th }}$ second and $115.0 \mathrm{~m}$ in $(\mathrm{n}+2)^{ ext {th }}$ second. The acceleration is :

Question

A body travels $102.5 \mathrm{~m}$ in $\mathrm{n}^{	ext {th }}$ second and $115.0 \mathrm{~m}$ in $(\mathrm{n}+2)^{	ext {th }}$ second. The acceleration is :

Aicharya · Accepted Answer

$\begin{aligned} & 	ext { Given, } 102.5=\mathrm{u}+\frac{\mathrm{a}}{2}(2 \mathrm{n}-1) \& \ & 115=\mathrm{u}+\frac{\mathrm{a}}{2}(2 \mathrm{n}+3) \ & \Rightarrow 102.5=\mathrm{u}+\mathrm{an}-\frac{\mathrm{a}}{2} \& \ & 115=\mathrm{u}+\mathrm{an}+\frac{3 \mathrm{a}}{2} \ & 12.5=2 \mathrm{a} \Rightarrow \mathrm{a}=6.25 \mathrm{~m} / \mathrm{s}^2 \end{aligned}$

A body travels $102.5 \mathrm{~m}$ in $\mathrm{n}^{\text {th }}$ second and $115.0 \mathrm{~m}$ in…

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