# 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,

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

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