Calculus Level 3

The position of a particle is given by $p(t) = -t^2 + 4t$. Its journey starts at $t= 0$ and ends when it hits the $x$ axis again.

At what point in time $T$ will the particle have completed $75$% of its path (meaning 75% of the distance in the whole path is traveled by the particle)? Enter $\left \lfloor 1000 T \right \rfloor$ as your answer.

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