To find the retardation, we need to calculate the change in velocity (Δv) and divide it by the time taken (t).
Given: Initial velocity (u) = 40 m/s Final velocity (v) = 10 m/s Time taken (t) = 6 seconds
The change in velocity (Δv) can be calculated as: Δv = v - u
Δv = 10 m/s - 40 m/s Δv = -30 m/s
The negative sign indicates that the velocity has decreased, or in other words, the bus is decelerating.
Now, we can calculate the retardation (a) using the formula: a = Δv / t
a = (-30 m/s) / (6 s) a = -5 m/s²
Therefore, the retardation in this case is -5 m/s². The negative sign indicates that it is a deceleration.