Let's tackle the problem step-by-step.
1. Understanding Uniform Velocity:
- The problem states that the girl is running along a straight road with a uniform velocity. Uniform velocity means that her speed and the direction in which she is moving remain constant over time.
2. Definition of Acceleration:
- Acceleration is defined as the rate of change of velocity with respect to time.
- Mathematically, acceleration [tex]\(a\)[/tex] is given by:
[tex]\[
a = \frac{\Delta v}{\Delta t}
\][/tex]
- Where [tex]\( \Delta v \)[/tex] is the change in velocity and [tex]\( \Delta t \)[/tex] is the change in time.
3. Change in Velocity:
- Since the velocity is uniform, there is no change in the velocity over time.
- Hence, [tex]\( \Delta v = 0 \)[/tex].
4. Calculating Acceleration:
- Substituting [tex]\( \Delta v = 0 \)[/tex] into the formula for acceleration:
[tex]\[
a = \frac{0}{\Delta t} = 0 \, \text{m/s}^2
\][/tex]
Thus, the acceleration of the girl is [tex]\( 0 \, \text{m/s}^2 \)[/tex].
