[Solved] A space vehicle is launched vertically from the ground such that its velocity v (in km/s) is given by: v=[ ln ^2(t^3+1) ](t^2)/(t^3)+1 where t
Question: A space vehicle is launched vertically from the ground such that its velocity v (in km/s) is given by:
\[v=\left[ {{\ln }^{2}}\left( {{t}^{3}}+1 \right) \right]\frac{{{t}^{2}}}{{{t}^{3}}+1}\]where t is the time in seconds. Find the altitude of the vehicle after 10 seconds.
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