I have proof for question a but I cannot proof question b. How should I prove question b?
HINT
Using your answer in (a), you can develop a (very simple) lower bound for $|v(t)|$, from which your inequality will follow. You can think of $T$ as $\int_0^T dt$ if you like...
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HINT
Using your answer in (a), you can develop a (very simple) lower bound for $|v(t)|$, from which your inequality will follow. You can think of $T$ as $\int_0^T dt$ if you like...