Answer Happy

and its 2. Particle moves along the x-axis so that its velocity at any timer is given by vo(t) = 1 - 3 cos acceleration at any time is given by co(1) 6t 5 sin The particle is at position * = 2 at time t = 0. (a) in the interval 0 < < 5, when is the velocity of particle increasing? Give a reason for your answer. (b) Find the position of particle at time I = 3.
(c) A second particle, R, moves along the x-axis so that its position at any timer is given by a differentiable function r(t), where (1) = 4 and xx(3) = 8. Explain why there must be a time 1, for 1 <I< 3, at which the velocity of particle R is 2.
(d) At time t = 3, the velocity of particle R described in part (c) is - 2. Are particles and R moving toward each other or away from each other at time I = 3 ? Explain your reasoning.