Question

a bicyclist, initially at rest, speeds up steadily. during this time interval she averages 3m/s.
determine all unknowns.
|v₀| = m/s
|v̄| = m/s
|v_f| = m/s

Explanation:

Step1: Identify initial velocity

The bicyclist starts at rest, so $v_0 = 0$ m/s.

Step2: Identify average velocity

Given average speed $\bar{v} = 3$ m/s.

Step3: Calculate final velocity

For constant acceleration, $\bar{v} = \frac{v_0 + v_f}{2}$. Substitute values: $3 = \frac{0 + v_f}{2} \Rightarrow v_f = 6$ m/s.

Answer:

$|v_0| = 0$ m/s
$|\bar{v}| = 3$ m/s
$|v_f| = 6$ m/s