Solve-A-particle-moves-along-the-space-curve-r-t-2-t-i-3t-2-j-2t-3-4t-2-k-find-a-velocity-b-speed-or-magnitude-of-velocity-c-acceleration-d-magnitude-of-acceleration-at-time-t-2-

Question Number 200736 by Calculusboy last updated on 22/Nov/23

S o l v e : A p a r t i c l e m o v e s a l o n g t h e s p a c e

c u r v e \underline{r} = (t^{2} + t) i + (3 t - 2) j + (2 t^{3} - 4 t^{2}) k .

f i n d

(a) v e l o c i t y

(b) s p e e d o r m a g n i t u d e o f v e l o c i t y

(c) a c c e l e r a t i o n

(d) m a g n i t u d e o f a c c e l e r a t i o n a t t i m e t = 2