Question

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`?

Answer 1

I found: `20.2m`

Explanation:

Here you can use the relationship from kinematics:
`v_f^2=v_i^2+2ad`
Where `f 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(3)d`
(negative acceleration)
`d=121/6=20.2m`