. A bus decreases its speed from 80 km/h to 60 km/h in 5 s. Find the acceleration of the bus.
Question
. A bus decreases its speed from 80 km/h to 60 km/h in 5 s. Find the acceleration of the bus.
Solution
Sure, here are the steps to find the acceleration of the bus:
Step 1: Convert the speeds from km/h to m/s because the standard unit of speed in physics is m/s. 1 km/h = 1000 m/3600 s = 5/18 m/s So, 80 km/h = 80 * 5/18 = 22.22 m/s And, 60 km/h = 60 * 5/18 = 16.67 m/s
Step 2: Use the formula for acceleration, which is change in velocity divided by time. The change in velocity (final velocity - initial velocity) here is 16.67 m/s - 22.22 m/s = -5.55 m/s. The time is 5 seconds.
Step 3: Plug the values into the formula: acceleration = -5.55 m/s / 5 s = -1.11 m/s²
The negative sign indicates that the bus is decelerating, or slowing down. So, the acceleration of the bus is -1.11 m/s².
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