Due to construction, traffic is getting detoured from main street by making a 60° right turn onto oak avenue and continuing straight for 4 mi. to get back onto main street, you need to make a 90° left turn onto lilac lane and continue straight for x miles. lilac lane intersects main street at 30° for the end of the detour. approximately how many miles should you travel on lilac lane to reach main street? a. 6.9 b. 4.0 c. 5.7 d. 11.25

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)