To find the cyclist's speed after accelerating, we can use the formula for final velocity:
\[
v_f = v_i + a \cdot t
\]
where:
- \( v_f \) is the final velocity,
- \( v_i \) is the initial velocity,
- \( a \) is the acceleration,
- \( t \) is the time.
Given:
- \( v_i = 4.5 \, \text{m/s} \) (initial velocity, westward),
- \( a = 2.3 \, \text{m/s}^2 \) (acceleration),
- \( t = 5.0 \, \text{s} \) (time).
Substituting the values into the