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

  • Thread starter Thread starter Physuph
  • Start date Start date
  • Tags Tags
    Physics Train
Click For Summary
SUMMARY

The discussion focuses on solving a physics problem involving a train's stopping distance, specifically calculating the distance d1 from the train to a stalled car at an intersection. Given the time t it takes for the train to stop, the time u it takes to reach the intersection, and the distance d2 the train travels after the intersection before stopping, participants emphasize using the equations of motion, particularly v = v0 + at and vav = (1/2)(v0 + v), to derive the necessary relationships. The key challenge lies in integrating these equations to isolate d1 in terms of the provided variables.

PREREQUISITES
  • Understanding of kinematic equations, particularly for uniformly accelerated motion.
  • Familiarity with concepts of acceleration, initial velocity, and final velocity.
  • Basic algebra skills for manipulating equations and solving for unknowns.
  • Knowledge of the relationship between time, distance, and speed in physics.
NEXT STEPS
  • Study the derivation of kinematic equations for constant acceleration.
  • Learn how to apply the equations of motion in real-world scenarios, such as vehicle stopping distances.
  • Explore examples of similar physics problems involving trains or vehicles to reinforce understanding.
  • Practice isolating variables in equations to solve for unknown distances or times.
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in applying kinematic principles to real-world problems, particularly in transportation scenarios.

Physuph
Messages
3
Reaction score
0

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.
 
Physics news on Phys.org
Think in terms of a, Δv, and Δt, and see if you can set up some equations.
 

Similar threads

1-dimensional kinematics - final velocity of 2 trains in opposing direction
  • · Replies 3 ·
Replies
3
Views
1K
Train collision prevention problem
  • · Replies 8 ·
Replies
8
Views
4K
Acceleration and velocity: Car and train problem
  • · Replies 3 ·
Replies
3
Views
5K
Two cars driving toward each other (non-uniform speed)
  • · Replies 5 ·
Replies
5
Views
8K
Help with question on motion: Avoiding a rear-end collision
  • · Replies 6 ·
Replies
6
Views
3K
Calculate the force to stop a train
  • · Replies 2 ·
Replies
2
Views
7K
Train Collision Problem - Calculating Head Start
  • · Replies 1 ·
Replies
1
Views
4K
Calculating Separation of Cars in a Convoy Moving at Max Speed
  • · Replies 4 ·
Replies
4
Views
3K
How Fast Does the Train Accelerate to Outpace the Car?
  • · Replies 1 ·
Replies
1
Views
7K
Locomotive accelerates 34-car train
  • · Replies 15 ·
Replies
15
Views
5K