math mechanics hw? help?

a particle p moves along the x-axis. at time t seconds the velocity of p is v ms^-1 in the positive direction where v = 3t^2 - 4t + 3.
when t=0 p is at the origin 0.
find the distance of p from 0 when p is moving with minimum velocity

(7 marks)

Reply 1

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Original post by AliceGeorgia

a particle p moves along the x-axis. at time t seconds the velocity of p is v ms^-1 in the positive direction where v = 3t^2 - 4t + 3.
when t=0 p is at the origin 0.
find the distance of p from 0 when p is moving with minimum velocity

(7 marks)

First find the miminum of the quadratic by differentiating. Then sketch the quadratic and think about how to find distance.