A particle moves with velocity v(t)= cases 5 & 0 t 3 10-2t & 3<t 6 cases (m/s)

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A particle moves with velocity v(t)={50≤t≤310−2t3<t≤6 (m/s).v(t)=\begin{cases}5 & 0\le t\le 3\\ 10-2t & 3<t\le 6\end{cases}\text{ (m/s).} Determine the particle’s displacement from t=0t=0 to t=6t=6 seconds.

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