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?

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?

issimplcalcus · Answer

p(t) = ∫ v(t)

thatonegirl_ · Answer

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

issimplcalcus · Answer

U substitution

issimplcalcus · Answer

remember to add the position at zero after anti deriving

thatonegirl_ · Answer

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

issimplcalcus · Answer

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

thatonegirl_ · Answer

ah okay thanks again