Question

When a cyclist squeezes her brake lever, she can stop with an acceleration of -3.0m/s2. How far will her bike travel while coming to a complete stop if her initial speed was 11m/s?

Answer 1

vf^2 = v0^2 + 2ad

where vf is the final velocity (0, since they're coming to a stop)
v0 is the initial velocity (11 m/s)
a is acceleration (-3.0 m/s/s)
and d is the distance (which you'll solve for)

plug in the appropriate quantities and solve for d