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.
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Transcribed Image Text:2.1 The position vector as a function of time of an object moving along a path is given by
f=cos(3t)î+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.
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