A bus decreases its speed from 80 kilometers per hour to 60 km per hour in 5 seconds, find the acceleration of the bus.
- Speed is defined as the rate of change of distance.
- Acceleration is the rate of change of velocity.
Answer: The acceleration of the bus is -1.112 m/s2
Let us understand the relationship between acceleration, speed and time.
Explanation:
Acceleration a = (V - U) / t
Note that to convert speed unit from km/h to m/sec, we multiply it by 5/18. We need to convert it in terms of seconds as the given time is in seconds.
Given: Initial velocity (U) = 80 km/hr = 80 × 5/18 = 400/18 = 22.22 m/sec
Final velocity (V) = 60 km/hr = 60 × 5/18 = 300/18 = 16.67 m/sec
Acceleration a = (V - U) / t
= (16.67 - 22.22)/5
= -5.55/5
= -1.11 m/s2
Negative sign indicates that the velocity is decreasing.
Therefore, the acceleration of the bus that decreases its speed from 80 kilometers per hour to 60 km per hour in 5 seconds is -1.11 m/s2
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