Three particles of masses 2kg, 1 kg,
3 kg respectively with position
vectors:
$r_1 = 56 \hat{i} - 5t^2 \hat{j} + (36 - 2) \hat{k}$
$r_2 = (26 - 3t) \hat{i} - (12 - 5t^2) \hat{j} + (4 + 6t - 3t^3) \hat{k}$
$r_3 = (12t - 1) \hat{i} - (t^3 + 2) \hat{j} - t^3 \hat{k}$
where position vectors are in cm, and
t is seconds.
1) find the velocity of center of mass
in t = 1 second and t = 2 second
2) find the total linear momentum of
the system in t = 1 second, t = 2 second
3) Analyze if the three-particle system
is isolated