Question #1986

A particle is moving with the given data. Find the position of the particle.
a(t) = t - 2
s(0) = 1
v(0) = 1
s(t) =_________

Expert's answer

v = int(a(t) dt) = t^{2}/2 - 2t +v(0) = t^{2}/2 - 2t + 1

s = int(v(t) dt) = t^{3}/6 - t2 + t +s(0) = t^{3}/6 - t2 + t + 1

s = int(v(t) dt) = t

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