Question

A particle is moving with the given data. Find the position of the particle. a(t) = cos t + sin t, s(0) = 6, v(0) = 2

Answer 1

\[v(t)={d\over dt}r(t)\\
a(t)={d\over dt}v(t)\]
now, go backwards
anti-derivative of a(t) = v(t)
anti-derivative of v(t) = r(t)