To find the acceleration of the train, we can use the formula:
Acceleration (a) = (Final velocity (v) - Initial velocity (u)) / Time (t)
Given: Initial velocity (u) = 72 km/hr Final velocity (v) = 120 km/hr Time (t) = 10 seconds
First, let's convert the velocities from km/hr to m/s, as the SI unit of acceleration is meters per second squared (m/s²):
Initial velocity (u) = 72 km/hr * (1000 m/1 km) * (1 hr/3600 s) ≈ 20 m/s Final velocity (v) = 120 km/hr * (1000 m/1 km) * (1 hr/3600 s) ≈ 33.33 m/s
Now we can calculate the acceleration:
Acceleration (a) = (33.33 m/s - 20 m/s) / 10 s = 13.33 m/s / 10 s = 1.33 m/s²
Therefore, the acceleration of the train is approximately 1.33 m/s².