First slide

Displacement in nth sec

Question

A particle is moving along x-axis as $x = {at}^{2} + bt + c$ ; 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

A

0.5 m
B

0.25 m
C

1.00 m
D

Zero

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 ;
$∴$ Total distance covered by particle = 0.5 m

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