Chapter 4.1, Problem 10E

V(t) An object moves with velocity function v (t) = sin(t) during the time interval [0; π]. The next two questions refer to this object. A

The position function of a particle is given by ?(?) , where t is measured issecond and s is measured in metres. a) Find the velocity and acceleration functions. b) When does the particle change direction?c) What is the velocity at ? = 3 seconds? Is the particle moving away or towards its starting position?

b. An object moves along a straight line with acceleration given by a(t) = - cos(t), and s(0) = 1, and v(0) = 0. Find the maximum distance the object travels from zero, and find its maximum speed. Describe the motion of the object.