Question

A particle is moving with the given data. Find the position of the particle. a(t)=sin(t)+3cos(t) s(0)=0 v(0)=2

Answer 1

a(t) = dx^2/dt^2

integrate twice

Answer 2

\[v(t) = \int\limits_{}^{}a(t) + C\]

plug in v(0) = 2 to solve for C to get the real v(t) for this case

integrate and repeat to find the function s(t)

Answer 3

i did not get it. could you explain it more?

Answer 4

s(t)= - sin(t) - 3 cos (t) + 3(t) + 3
i got this answer but i want to make sure is it correct or not