Train Physics Problem: Finding d1 with Given t, u, and d2 | Homework Help

In summary, a train traveling at its maximum speed can stop in t seconds. When the train driver sees a car stalled d1 meters ahead, the train instantly pulls the brake and reaches the intersection u seconds later. The train then comes to a complete stop after traveling d2 more meters. With constant acceleration, we can use equations such as v=v0 + at and vav= (1/2)(v0+v) to solve for d1 in terms of t, u, and d2.
  • #1
Physuph
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Homework Statement



A given train can stop in t seconds when it is running at its maximum speed. The train driver sees a car stalled at an intersection that is d1 meters ahead of the train, and instantly pulls the brake starting while at its maximum speed. The train reaches the intersection u seconds later, but does not hit the car because the car darts out of the way at the last moment. The train travels d2 more meters before it comes to a complete stop.

Supposing that the train's acceleration through all this is constant, how far was the train from the car? In other words, what is d1? (in terms of t, u and d2)


Homework Equations



v=v0 + at
vav= (1/2)(v0+v)
etc...

The Attempt at a Solution



I have a bunch of equations and I can't seem to put them together to find the solution.
 
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  • #2
Think in terms of a, Δv, and Δt, and see if you can set up some equations.
 

1. What is the train physics problem?

The train physics problem refers to a specific type of physics problem that involves analyzing the motion of a train. This can include calculating the train's velocity, acceleration, and distance traveled over a given time period.

2. What are the key factors that affect train physics?

The main factors that affect train physics include the train's mass, its speed, the forces acting upon it (such as friction and air resistance), and the track's incline or curve.

3. How does the weight of the train impact its motion?

The weight of a train affects its motion by influencing the amount of force required to accelerate or decelerate the train. A heavier train will require more force to move and change its speed compared to a lighter train.

4. How is the train's speed related to its acceleration?

According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Therefore, a train's speed is related to its acceleration through the amount of force applied to it and its mass.

5. Can you provide an example of a train physics problem?

Sure! An example of a train physics problem could be calculating the average speed of a train traveling 100 km in 2 hours with a mass of 5000 kg. Using the formula speed = distance/time, we can determine that the train's average speed is 50 km/h. Other factors, such as friction and air resistance, can also be taken into account for a more accurate analysis.

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