In order to determine the height of the flagpole in the school yard, Cindy is going to use similar triangles. The length of Cindy’s shadow is 5 feet. Measuring the length of the shadow of the pole at the same time, she finds it to be 12.5 feet. Using this information and the fact that Cindy’s height is 4 feet, give the height of the pole to the nearest hundredth of a foot. a. 10 feet c. 10.25 feet b. 15.63 feet d. 9.75 feet

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)