A speedy rabbit is hopping to the right with a velocity of
4.0 ms4.0 \,\dfrac{\text m}{\text s}
4.0
s

m


4, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction
when it sees a carrot in the distance. The rabbit speeds up to its maximum velocity of
13 ms13 \,\dfrac{\text m}{\text s}
13
s

m


13, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction
with a constant acceleration of
2.0 ms22.0 \,\dfrac{\text m}{\text s^2}
2.0
s
2

m


2, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, squared, end fraction
rightward.
How many seconds does it take the rabbit to speed up from
4.0 ms4.0 \,\dfrac{\text m}{\text s}
4.0
s

m


4, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction
to
13 ms13 \,\dfrac{\text m}{\text s}
13
s

m


13, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction
?
Answer using a coordinate system where rightward is positive.