# An athlete starts running from rest accelerates uniformly and complete hundred metre race in 10 seconds find its acceleration

$given,\phantom{\rule{0ex}{0ex}}s=100m\phantom{\rule{0ex}{0ex}}t=10s\phantom{\rule{0ex}{0ex}}initialvelocity,u=0\phantom{\rule{0ex}{0ex}}letabetheacceleration.\phantom{\rule{0ex}{0ex}}weknow,\phantom{\rule{0ex}{0ex}}s=ut+\frac{1}{2}a{t}^{2}\phantom{\rule{0ex}{0ex}}\Rightarrow 100=0+\frac{1}{2}\times a\times {\left(10\right)}^{2}\phantom{\rule{0ex}{0ex}}\Rightarrow 100=50a\phantom{\rule{0ex}{0ex}}\Rightarrow a=\frac{100}{50}\phantom{\rule{0ex}{0ex}}\Rightarrow a=2m/{s}^{2}$

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