Final answer:
The acceleration of the bus is 0.5 m/s².
Step-by-step explanation:
To find the acceleration of the bus, we can use the formula:
acceleration = (change in velocity) / (change in time)
Given that the initial speed of the bus is 10 m/s, the final speed is 30 m/s, and the time taken is 40 seconds, we can substitute these values into the formula:
acceleration = (30 m/s - 10 m/s) / 40 s
The change in velocity is 20 m/s, so the acceleration is:
acceleration = 20 m/s / 40 s
Simplifying the expression gives us:
acceleration = 0.5 m/s²