the body starting from rest moving with uniform acceleration has a displacment of 16m in the first 4 sec and 9m in the first 3 sec.the acceleration of the body is

Dear Student,

Please find below the solution to the asked query:

Given that the body is moving with constant acceleration. So, its displacement is given as 16 m in time 4 s and 9 m in first 3 s. And it is also given that the body is starting from rest. Therefore,

$$\begin{gathered} S=ut+\frac{1}{2}a{t}^2\Rightarrow 16=0\times 4+\frac{1}{2}\times a\times 4^2\Rightarrow 16=8a \\ \Rightarrow a=\frac{16}{8} \\ \Rightarrow a=2 \raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s^2$}\right. \end{gathered}$$

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