Understanding the Problem
* Initial velocity (u): 0 m/s (starts from rest)
* Distance (s): 200 m
* Time (t): 10 s
* Acceleration (a): We need to find this.
Equation of Motion
We can use the following equation of motion:
s = ut + (1/2)at²
Solving for Acceleration
1. Plug in the values:
200 = (0)(10) + (1/2)(a)(10)²
2. Simplify:
200 = 50a
3. Solve for 'a':
a = 200 / 50
a = 4 m/s²
Answer: The acceleration required for the train to travel 200 meters in 10 seconds, starting from rest, is 4 m/s².
