A particle is moving with the given data. Find the position of the particle. v(t) = 1.5root(t) , s(9) = 33

Answer 1

s(t) = ∫v(t)dt = 1.5∫t^1/2dt = 1.5(2/3)t^3/2 + C = t^3/2+C

s(9) = 33 = 9^3/2+C = 27 + C --> = 6

s(t) = t^3/2 + 6