The velocity of a particle moving along a line is meters per second for seconds

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

The velocity of a particle moving along a line is v(t)=t2−4t+3v(t)=t^{2}-4t+3 meters per second for 0≤t≤50\le t\le5 seconds. What is the total distance, in meters, traveled by the particle on this interval? (a) 203\displaystyle \frac{20}{3} (b) 283\displaystyle \frac{28}{3} (c) 323\displaystyle \frac{32}{3} (d) 88

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