1. Convert Units:
* Velocity: 80 km/h needs to be converted to meters per second (m/s).
* 1 km = 1000 m
* 1 hour = 3600 seconds
* 80 km/h * (1000 m/km) * (1 h/3600 s) = 22.22 m/s (approximately)
2. Understand the Concepts:
* Acceleration: Acceleration is the rate of change of velocity over time. It is measured in meters per second squared (m/s²).
* Final Velocity: The vehicle comes to a "dead stop", meaning its final velocity (v_f) is 0 m/s.
* Initial Velocity: The initial velocity (v_i) is 22.22 m/s.
3. Apply the Formula:
The formula for acceleration is:
acceleration (a) = (final velocity (v_f) - initial velocity (v_i)) / time (t)
4. Calculate:
a = (0 m/s - 22.22 m/s) / 13 s
a = -1.71 m/s² (approximately)
Answer:
The acceleration of the vehicle is approximately -1.71 m/s². The negative sign indicates that the vehicle is decelerating (slowing down).