A bus is moving at 30 m/s when the driver steps on the brakes and brings the bus to a stop in 2.6 s.
What is the average acceleration of the bus while braking?
a = (V-Vo)/t = (0-30)/2.6 = 11.54 m/s^2.
Correction: a = -11.54 m/s^2.
To find the average acceleration of the bus while braking, we can use the formula:
Average acceleration = Change in velocity / Time taken
In this case, the initial velocity of the bus is 30 m/s, and it comes to a stop, so the final velocity is 0 m/s. The time taken to bring the bus to a stop is given as 2.6 seconds.
Now, let's calculate the change in velocity:
Change in velocity = Final velocity - Initial velocity
Change in velocity = 0 m/s - 30 m/s
Change in velocity = -30 m/s
The negative sign shows that the velocity decreases in magnitude.
Now, we can substitute the values into the formula:
Average acceleration = -30 m/s / 2.6 s
Average acceleration = -11.53 m/s²
Therefore, the average acceleration of the bus while braking is approximately -11.53 m/s².