At the moment t = 0 a particle leaves the origin and moves in the positive direction of the x axis. Its velocity varies with time as v = v0 (1 – t /τ), where v0 is the initial velocity vector whose modulus equals v0 = 10.0 cm/s; τ = 5.0 s. Find:
(a) The x coordinates of the particle at the moments of time 6.0, 10, and 20 s;
(b) The moments of time when the particle is at the distance 10.0 cm from the origin;
(c) The distance s covered by the particle during the first 4.0 and 8.0 s; draw the approximate plot s (t).