8. At time t, the position of a body moving along the s-axis is s(t). Suppose s(0) = 2 and It's initial velocity is v(0)
Posted: Tue May 10, 2022 6:44 pm
8. At time t, the position of a body moving along the s-axis is s(t). Suppose s(0) = 2 and It's initial velocity is v(0) = 0. The body is experiencing an acceleration of a(t) = 2e-1 (a) Find the body's velocity as a function of time: v(t). (b) Find the body's position function s(t). (e) (2 points) Find the average velocity over the time interval [0, In (2)). (d) State the Mean-Value theorem for derivatives. Can the Mean-Value theorem be used to conclude that v(t) was never zero on the interval (0, In 2)? Why or why not?