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

Question

a(t) = 2t + 3,    s(0) = 3,    v(0) = −2

s(t) = 

Answer 1

This is a straight integration problem.

v(t)=t² + 3t +C₁

s(t) = (t²/3) + (3/2)t² + C₁t + C₂

Use the initial conditions to evaluate C₁ and C₂.