2. The position vector as a function of time of an object moving along a circular...

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2. The position vector as a function of time of an object moving along a circular path is given by +(t) = 3cos2t i +3sin2t j 2.1 Show that the objects' moves with a constant speed. (3) 2.2 Show that the objects' position and velocity are perpendicular. (3) 2.3 Show that the force keeping the object in the circular path is directed towards the centre of the circular path. (4) 2. The position vector as a function of time of an object moving along a circular path is given by +(t) = 3cos2t i +3sin2t j 2.1 Show that the objects' moves with a constant speed. (3) 2.2 Show that the objects' position and velocity are perpendicular. (3) 2.3 Show that the force keeping the object in the circular path is directed towards the centre of the circular path. (4)

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Based on the image provided you are given a position vector vecrt 3cos2t hati 3sin2t hatj which describes the motion of an object moving along a circu... View the full answer