A particle is moving with the given data. Find the position of the particle.

Question

v(t) = 1.5sqrt(t), s(9) = 33

Answer 1

v(t) = 3/2 t^(1/2)
s(t) = t^(3/2) + c
33 = 9^(3/2)+c, so c=6

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