Question:
A particle moves such that its vector is given by π
= cos ππ‘π + sin ππ‘π where π is a constant. Show that:
(i)
Velocity, π£ of the particle is perpendicular to r
(ii)
Acceleration, π is directed towards the origin and has magnitude proportional to the
distance from the origin
(iii) π π π£is a constant vector
(i)
Hence
(ii)
Hence π is directed towards the origin and has magnitude proportional to the distance from the origin
(iii)
Therefore is a constant vector ( ).
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