The discussion revolves around a particle's motion described by the position function s(t) = 3t² - 3t + 5 cm. The original poster seeks to find a time t where the instantaneous velocity matches the average velocity over a 10-second interval.
Some participants have provided insights into calculating average velocity and the role of derivatives in finding instantaneous velocity. There is an ongoing exploration of the definitions and relationships between the variables involved.
Participants are working within the constraints of a 10-second time frame and are clarifying the definitions of position and velocity in the context of the problem.
Your "s". The average speed, between t= 0 and t=10, is (s(10)- s(0))/(10 - 0). Calculate that, set it equal to s'(t) and solve for t.sammiyahc0 said:what does x represent?