A) 50 m/s
B) 25 m/s
C) 100 m/s
D) 75 m/s
Correct Answer: A
Solution :
\[a=2t+5\] or \[\frac{dv}{dt}=2t+5\] or \[dv=(2t+5)\,\,dt\] ... (i) Integrating Eq. (i) on both sides within the limits \[\int_{0}^{v}{dv}=\int_{0}^{5}{(2t+5)\,dt}\] or \[v=\left[ \frac{2{{t}^{2}}}{2}+5t \right]_{0}^{5}\] \[=[5\times 5+5\times 5]\] \[=50\,\,m/s\]
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