Question

the position (x)-time (t) graph for a particle of mass 1 kg moving along x-axis is shown in figure
Find impulse on particle at t = 4 s.
x (m)
20-
A
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Answer 1

impulse = change in momentum

e.g.,

here in graph it is clear that , velocity of particle from 0 to 4 sec is positive { 20/4 = 5m/s} and velocity of particular from 4 to 8 sec is negative { -20/4 = -5 m/s}.

so,

....(i)

and

....(ii)

Impulse = -5 - 5 = -10 kgm/s [from eqs. (i), (ii)]