Grade 11 Physics: A subway train

• soniaFB
In summary, the subway train travels at a constant speed for 30 seconds after accelerating at a rate of 2.0m/s^2 for 10 seconds. It then decelerates at a rate of 2.4m/s^2 until it stops at the next station. Using the kinematic equations, the total distance between the stations can be calculated. The average speed of the train can be found by dividing the total distance by the total time traveled.
soniaFB
A subway train starts from rest at a station and accelerates at the rate of 2.0m/s^2 for 10s. It runs at a constant speed for 30s, and then decelerates at 2.4m/s^2 until it stops at the next station.

Find the total distance between the stations and the average speed of the train.

Well first I'd see that you need to break this down into 3 separate problems.
1) Train accelerating at the rate of 2.0m/s^2 for 10s
2) Going at constant speed for 30s
3) Decelerating at 2.4m/s^2 until it stops

Notice that the problems involving an acceleration have constant accelerations, so you can you all of the kinematic equations to solve for the distance. After that, the last part should be fairly simple

1. What is the difference between speed and velocity in the context of a subway train?

Speed refers to the rate at which an object is moving, while velocity takes into account both the speed and direction of motion. In a subway train, the speed would be measured in kilometers per hour, while the velocity would also include the direction the train is moving, such as north or south.

2. How does Newton's first law of motion apply to a subway train?

Newton's first law of motion states that an object will remain at rest or in motion at a constant velocity unless acted upon by an external force. In the case of a subway train, the train will continue to move at a constant velocity unless a force, such as friction or the brakes, is applied to slow it down or bring it to a stop.

3. How does the weight of a subway train affect its acceleration?

The weight of a subway train, which is the force of gravity acting on the train, can affect its acceleration. A heavier train may require more force to accelerate or decelerate, while a lighter train may require less force. However, the design and power of the train's engine also play a significant role in its acceleration.

4. How do forces such as friction and air resistance impact the movement of a subway train?

Friction and air resistance can both act as external forces that can slow down or affect the movement of a subway train. Friction can occur between the train and the tracks, while air resistance can occur as the train moves through the air. These forces can impact the train's speed, acceleration, and overall movement.

5. How does the length of a subway train impact its momentum?

Momentum is a measure of an object's mass and velocity. In the case of a subway train, its length can affect its momentum by contributing to its mass. A longer train would have a greater mass and therefore a greater momentum, which can impact its ability to start, stop, or change direction. However, other factors such as the speed and power of the train also play a significant role in its momentum.

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