A subway train is designed with a maximum acceleration of +0.17 m/s2, which allows for both passenger safety and comfort.
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The maximum acceleration of +0.17 m/s^2 means that the subway train can increase its speed by 0.17 meters per second for every second it accelerates. This limit is set to ensure passenger safety and comfort during the ride.
To understand this concept, you can perform a simple calculation. Let's say the subway train starts from rest and accelerates at its maximum acceleration for a certain amount of time. During this time, the train's speed will increase by 0.17 m/s for every second of acceleration.
For example, let's consider a scenario where the subway train accelerates for 10 seconds. In this case, we can calculate the change in speed using the formula:
Change in speed = acceleration × time
Change in speed = 0.17 m/s^2 × 10 s
Change in speed = 1.7 m/s
So, the speed of the train will increase by 1.7 m/s after 10 seconds of maximum acceleration.
Keep in mind that acceleration is the rate of change of speed. If the subway train decelerates, the acceleration value would have a negative sign (-0.17 m/s^2), indicating a decrease in speed over time. This can happen when the train needs to slow down or come to a stop.
Understanding the maximum acceleration of a subway train helps us grasp the safety and comfort precautions taken while transportation systems are designed. The limit ensures that the acceleration is gradual enough for passengers to feel comfortable during their journey.