Arandom object hit the top of a mountain and caused several boulders to fall down the mountain. scientists were able to measure the speed of the boulders. the distance (in feet) that the boulder traveled down the mountain each second was given by the arithmetic sequence: 3, 5, 7, 9, . . find the total distance the boulder traveled in 9 seconds.

Find the roots of the equation below. x^2 - 6 + 9 = 0

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)

In the diagram, gef and hef are congruent. what is the value of x