Question

consider a particle moving in the x-y plane according to:

Answer 1

x=(16t)/(1+t^3) y= (16t^2)/(1+t^3)

Answer 2

find all intervals of t where the path of motion is concave up and concave down

Answer 3

im guessing second derivative analysis of the critcal point x=cuberoot(2)

Answer 4

i gotta go in 2 minutes :/

Answer 5

yes do second derivative. if y">0 then its concave up. if y<0 its concave down

Answer 6

y"0 mean

Answer 7

ah man, can i just take the second derivative of each individually then put dy2/dt over dx2/dt?

Answer 8

anyways thanks, o goptta go now though!