A high diving competition has a diver jump from a 66-foot platform with an initial velocity of 6 feet per second. a) Assume there is no air resistance. Find the position function for the diver.
b) Find the diver's velocity.
c) How high does the diver jump before starting her descent?
d) What is the diver's acceleration at 3 seconds?
e) When our diver hits the water, her velocity changes to V0(t)+7t^2, where v0(t) is the velocity you found in (b). Assuming she is diving straight down, how deep must the pool be in order for her to avoid touching the bottom?

Hye ryung is the president of the local chapter of the american medical students association (amsa). she is organizing local outreach and informational meetings. at her first meeting there are five people present (including herself). every month after that her group grows by 5 people. a. how many members are in the group after 6 months? b. the logistics of hosting and feeding her group at meetings was more complicated than expected. the cost of feeding 5 people at her first meeting was $30, for 10 people it was $35, for 15 it was $45, and after 6 months all of the costs had added up to $100. write a function to model the cost with the number of people attending meetings. c. what connections can you make between the linear growth of the group’s membership and the increasing costs of running meetings?

Factor and solve to find roots x squared -x - 90 =0

In 2014, the three largest economies in the world were (listed in order, from largest): a) the u.s., china, germany. b) the u.s., china, japan. c) china, the u.s., japan. d) china, the u.s., germany.