A) 20m
B) 18m
C) 16 m
D) 25 m
Correct Answer: B
Solution :
Given, \[a=\frac{dv}{dt}=6t+5\] \[\int_{0}^{v}{dv}=\int_{0}^{t}{(6t+5)}dt\] \[v=\frac{6{{t}^{2}}}{2}+5t\] \[\frac{ds}{dt}=\left( \frac{6{{t}^{2}}}{2}+5t \right)dt\] \[s=\frac{3{{t}^{2}}}{3}+\frac{5{{t}^{2}}}{2}\] where, \[t=2\text{ }s,\] \[S=3\times \frac{{{2}^{3}}}{3}+\frac{5\times {{2}^{2}}}{2}=18\,m\]You need to login to perform this action.
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