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Statement of a problem № 21

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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 coordinate 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).

Solution:
At the moment t = 0 a particle leaves the origin and moves in the positive direc

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