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