2.1 The position vector as a function of time of an object moving along a path is given by f=cos(3t)i+sin(3t)j. 2.1.1 Show that the objects' moves with a constant speed. 2.1.2 Show that the objects' position and velocity are perpendicular 2.1.3 Show that the object moves on a circular path with radius 2. 2.1.4 Show that the objects' acceleration is directed towards the centre of the circular path.

2.1 The position vector as a function of time of an object moving along a path is given by f=cos(3t)i+sin(3t)j. 2.1.1 Show that the objects' moves with a constant speed. 2.1.2 Show that the objects' position and velocity are perpendicular 2.1.3 Show that the object moves on a circular path with radius 2. 2.1.4 Show that the objects' acceleration is directed towards the centre of the circular path.