A)
B)
C)
D)
Correct Answer: D
Solution :
\[a=g-\alpha v\] \[\frac{dv}{dt}=g-\alpha v\] \[\int\limits_{0}^{v}{\frac{dv}{g-\alpha v}}=\int\limits_{0}^{t}{dt}\Rightarrow \ell n\left( \frac{g-\alpha v}{v} \right)=-\alpha t\] \[V={{v}_{0}}(1-{{e}^{-\alpha t}}),a=\frac{dv}{dt}={{v}_{0}}\alpha {{e}^{-\alpha t}}={{a}_{0}}{{e}^{-\alpha t}}\]You need to login to perform this action.
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