Question

a bicyclist averages 3m/s, as she steadily slows to a stop. determine all unknowns. |v₀| = m/s |̄v| = m/s |v_f| = m/s

Explanation:

Step1: Identify final velocity

The cyclist stops, so \(|v_f| = 0\) m/s.

Step2: Use average velocity formula

Average velocity \(\bar{v} = \frac{v_0 + v_f}{2}\). Given \(\bar{v} = 3\) m/s, substitute \(v_f = 0\):
\(3 = \frac{v_0 + 0}{2}\) → \(v_0 = 6\) m/s.

Step3: Confirm average velocity

Given directly as 3 m/s, so \(|\bar{v}| = 3\) m/s.

Answer:

\(|v_o| = 6\) m/s
\(|\bar{v}| = 3\) m/s
\(|v_f| = 0\) m/s