Train Braking Distance Calculation

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SUMMARY

The discussion focuses on calculating train braking distance using kinematics principles. The train experiences a retardation of 1.7 m/s² while traveling at an initial speed of 100 km/h (22.8 m/s). The user successfully applies the kinematic equation for displacement under constant acceleration to determine the stopping distance. Additionally, the conversation includes a second problem involving uniform acceleration, where the user is guided to break down the problem using known variables such as initial velocity and time.

PREREQUISITES
  • Understanding of kinematic equations for constant acceleration
  • Ability to convert units (e.g., km/h to m/s)
  • Familiarity with basic physics concepts such as velocity, acceleration, and displacement
  • Knowledge of solving equations involving multiple variables
NEXT STEPS
  • Study the kinematic equations, specifically the equation for displacement: s = ut + 0.5at²
  • Practice unit conversions, particularly between kilometers per hour and meters per second
  • Explore problems involving uniform acceleration and deceleration in physics
  • Learn how to analyze motion graphs to understand relationships between displacement, velocity, and acceleration
USEFUL FOR

Students studying physics, particularly those focusing on kinematics, as well as educators looking for examples of problem-solving in motion analysis.

CathyLou
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Hi.

I would really appreciate it if someone could please help me with the following M1 level kinematics question as I am really stuck.

The brakes of a train can produce a retardation of 1.7 m/s^2. If the train is traveling at 100 km/h and applies its brakes what distance does it travel before stopping?

I got that:

a = -1.7
u = 22.8 (when converted to m/s)
s = ?

but I do not know where to go from here.

Thank you.

Cathy
 
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Have you studied the different equations for displacement with constant acceleration?
 
learningphysics said:
Have you studied the different equations for displacement with constant acceleration?

Just realized that v = 0!

I have got the answer now! :smile:

Cathy
 
Hi.

Could someone please help me with the following question? I have no idea how to even start it.

A particle is moving along a straight line. It passes points A, B and C on the line t = 0, t = 3 s and t = 6 s respectively. If AC is 60 m and the velocity of the particle at A is 4 m/s find the acceleration of the particle (assumed uniform) and the distance AB.

Thank you.

Cathy
 
Break this problem into parts. You know that from A to C 60m; v_0=4m/s and t=6s
so you have t, v, and displacement. Do you know of any relationship between those variables?

Casey
 
Thank you so much for your help. I have figured out the answers now. :smile:

Cathy
 
Nice.
 

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