Displacement in nth sec

Question

A particle is moving along x-axis as $\mathrm{x}={\mathrm{at}}^{2}+\mathrm{bt}+\mathrm{c}$ ; where a, b and c are constant a = 1; b = -5 and c = 6 and t is in second. Displacement of the particle during time t = 2 to t = 3 second will be

Moderate

Solution

At t = 2 sec, x = 0

Particle will stop at t = 2.5 sec ;

Distance covered by particle from t = 2 sec ;

t = 2.5 second = 0.25 m ;

$\therefore $ Total distance covered by particle = 0.5 m

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