# When a cyclist squeezes her brake lever, she can stop wlth an acceleration of 3.0 m/s^2 . How far will her bike travel while coming to a complete step if her initial speed was 11 m/s?

Dec 3, 2015

I found: $20.2 m$

#### Explanation:

Here you can use the relationship from kinematics:
${v}_{f}^{2} = {v}_{i}^{2} + 2 a d$
Where $f \mathmr{and} i$ refer to the initial and final positions:
with your data and taking "d" as the distance up to ${v}_{f} = 0$ you get:
$0 = {11}^{2} - 2 \left(3\right) d$
(negative acceleration)
$d = \frac{121}{6} = 20.2 m$