A particle moves along a coordinate axis in such a way that its position at time t is given by

Question

s(t)=(√(3t))+2cos(t) for 0≤t≤2π . At what time is the particle at rest?

Answer 1

it is at rest when s'(t) = 0 . That is, when
3/(2√(3t)) - 2sin(t) = 0
t = 0.5957, 2.8838