Show transcribed image text (5 points) A particle moves along a straight line and its position at time t is given by s() = 2 sin(4) where s is measured in feet and tin seconds. Consider t in the interval [0, 4] . When is the particle moving in the positive direction? Enter your answer as an interval or union of intervals. Answer: When is the particle moving in the negative direction? Enter your answer as an interval or union of intervals. Answer: What is the total distance the particle travels between time 0 and time 4? Answer: What is the acceleration a(O) of the particle at time t? a(O) = What is the acceleration of the particle at time 0.5? Answer: When is the particle speeding up ie. when is the velocity increasing in absolute value)? Enter your answer as an interval or union of intervals Answer: When is the particle slowing down ie. when is the velocity decreasing in absolute value)? Enter your answer as an interval or union of intervals. Answer: