Question

A particle moves along the x-axis so that at any time t>=0 its velocity is given by v(t)=cos(2-t^2). The position of the particle is 3 at time t=0. What is the position of the particle when its velocity is first equal to 0?

Answer 1

p(t) = ∫ v(t)

Answer 2

ahh okay thank you. I would use the chain rule for this right..?

Answer 3

U substitution

Answer 4

remember to add the position at zero after anti deriving

Answer 5

wait what does it mean by what is the position when velocity is first equal to 0 ?

Answer 6

You find the zeros of v(t) and using that t you plug it into p(t)

Answer 7

ah okay thanks again