Final answer:
The acceleration of the bus is calculated using the formula for constant acceleration. By plugging the values into the equation, the result is an acceleration of 12.5 meters per second squared.
Step-by-step explanation:
To calculate the acceleration of a bus that goes from 10 m/s to 60 m/s in 4 seconds, we can use the formula for constant acceleration:
a = (v₁ - v₀) / t
Where:
- a is the acceleration,
- v₁ is the final velocity (60 m/s),
- v₀ is the initial velocity (10 m/s),
- t is the time over which the change in velocity occurred (4 s).
Plugging in the values, we get:
a = (60 m/s - 10 m/s) / 4 s
a = 50 m/s² / 4 s
a = 12.5 m/s²
The bus accelerates at 12.5 meters per second squared.