A passenger train is traveling at 27 m/s when the engineer s

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A passenger train traveling at 27 m/s must decelerate to avoid colliding with a freight train moving at 5.9 m/s, which is 366 m ahead. The engineer's reaction time is 0.39 seconds, and the problem requires calculating the minimum constant deceleration needed. Attempts to solve the problem using the equation dx=vt+1/2at^2 were marked incorrect, highlighting the need for accurate calculations. Participants emphasize the importance of sharing actual work to identify errors and improve understanding. The discussion focuses on finding the correct method for determining the necessary deceleration to prevent a collision.
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Homework Statement


A passenger train is traveling at 27 m/s when the engineer sees a freight train 366 m ahead of his train traveling in the same direction on the same track. The freight train is moving at a speed of 5.9 m/s.
(a) If the reaction time of the engineer is 0.39 s, what is the minimum (constant) rate at which the passenger train must lose speed if a collision is to be avoided?

Homework Equations


dx=vt+1/2at^2

The Attempt at a Solution


I tried to set the dx=dx and solve for t using the quadratic equation. Then, since we are solving for minimum maginitude of decceleration I set the discriminant (containing 'a') equal to zero so I would get the smallest acceleration magnitude and a real time. But it was marked wrong.
 
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argpirate said:

Homework Statement


A passenger train is traveling at 27 m/s when the engineer sees a freight train 366 m ahead of his train traveling in the same direction on the same track. The freight train is moving at a speed of 5.9 m/s.
(a) If the reaction time of the engineer is 0.39 s, what is the minimum (constant) rate at which the passenger train must lose speed if a collision is to be avoided?

Homework Equations


dx=vt+1/2at^2

The Attempt at a Solution


I tried to set the dx=dx and solve for t using the quadratic equation. Then, since we are solving for minimum maginitude of decceleration I set the discriminant (containing 'a') equal to zero so I would get the smallest acceleration magnitude and a real time. But it was marked wrong.
It would be better if you posted your actual calculations, rather than describe verbally the procedure you followed.
 
but i did it wrong. If you do it the same way, you will know you did it wrong like me when you read it
 
argpirate said:
but i did it wrong. If you do it the same way, you will know you did it wrong like me when you read it
But that's the thing. You want someone to tell you what you did wrong. How is anyone able to do this without checking your actual work? You may have used the wrong procedure, you may have made an arithmetic mistake, etc.

This is Physics Forums, not Psychics Forums. There's no shame in posting erroneous calculations here; people do it all the time.
 
i am sure i did it wrong. I just want to know how to do it right.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...

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