a = t^2-5t+3
v = 1/3 t^3 - 5/2 t^2 + 3t + C1
s = 1/12 t^4 - 5/6 t^3 + 3/2 t^2 + C1*t + C2
Now use the conditions to solve for C1 and C2.
A particle is moving with the given data. Find the position of the particle.
a(t) = t2 − 5t + 3, s(0) = 0, s(1) = 20
s(t) =
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