Solve: The position vector of a particle at any time t is given by r_− =(acoswt)i+(asinwt)j+bt^2 k (a) show that,although the speed of the particle increases with time,the magnitude of the acceleration is always constant (b) describe the motion of the particle geometrically


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Question Number 200737 by Calculusboy last updated on 22/Nov/23

$S o l v e : T h e p o s i t i o n v e c t o r o f a p a r t i c l e a t a n y t i m e t$ $i s g i v e n b y \underline{r} = (a c o s w t) i + (a s i n w t) j + {b t}^{2} k$ $(a) s h o w t h a t, a l t h o u g h t h e s p e e d o f t h e p a r t i c l e$ $i n c r e a s e s w i t h t i m e, t h e m a g n i t u d e$ $o f t h e a c c e l e r a t i o n i s a l w a y s c o n s t a n t$ $(b) d e s c r i b e t h e m o t i o n o f t h e p a r t i c l e g e o m e t r i c a l l y$
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