Calculating the Acceleration of the Bus

To calculate the acceleration of the bus, we need to use the formula:

acceleration = (final velocity - initial velocity) / time

Where:
- Final velocity = 60 km/h
- Initial velocity = 80 km/h
- Time = 5 seconds

Now, let's plug in the values and solve for acceleration:

acceleration = (60 km/h - 80 km/h) / 5 s
acceleration = -20 km/h / 5 s

To convert km/h to m/s, we need to divide by 3.6:

acceleration = -20 km/h / 5 s ÷ 3.6
acceleration = -1.111 m/s²

The negative sign indicates that the bus is decelerating or slowing down.

Explanation

When the bus decreases its speed from 80 km/h to 60 km/h in 5 seconds, it means that the bus is slowing down at a certain rate. This rate of slowing down or change in velocity over time is called acceleration. To calculate the acceleration, we use the formula mentioned above.

In this case, the final velocity is 60 km/h, the initial velocity is 80 km/h, and the time taken is 5 seconds. By plugging these values into the formula, we get the acceleration of the bus, which is -1.111 m/s².

The negative sign indicates that the bus is slowing down or decelerating. If the bus were to increase its speed from 60 km/h to 80 km/h, then the acceleration would be positive, indicating that the bus is accelerating or speeding up.

U = 80 km/h = 22.22 m/s
v = 60 km/h = 16.66 m/s
t= 5 secs
acceleration =v-u/t .... so 16.66 -22.22 /5 = -1.112m/s²....