The distance covered by an object between times \( t_{1} \) and \( ...

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The distance covered by an object between times \( t_{1} \) and \( t_{2} \) is given by area under the \( v-t \) graph between \( t_{1} \) and \( t_{2} \). Prove that the above statement holds, when an object moving with negative acceleration has velocities positive at time \( t_{1} \) and negative at \( t_{2} \).
\( \mathrm{P} \)
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