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-accelerati

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