Three uniform small spheres A, B and C have equal radii and masses 3 m, m and m respectively. The spheres are at rest in a straight line on a smooth horizontal surface, with B between A and C. The coefficient of restitution between each pair of spheres is e. Sphere A is projected directly towards B
with speed u.

(i) Find, in terms of u and e, expressions for the speeds of A, B and C after the first two collisions

(ii)Given that A and C are moving with equal speeds after these two collisions, find the value of e

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  1. if x varies inversely as p^2 and x=2 when p=4, find the formulae connecting x and p.
    i was thinking this but i'm not sure.

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