Question
Asked Aug 27, 2019

a 75-m-long train begins uniform acceleration from rest. The front of the train has a speed of 18 m/s when it passes a railway worker who is standing 180 m from where the front of the train started. what will be the speed of the last car as it passes the worker? 

 

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Expert Answer

Step 1

Use equation of motion to find the uniform acceleration of the train. The initial velocity of the train is zero.

(1)
t.
1
0, use
e(1)]
2
(2)
1
(3)
use (2) in (1)]
2S1
(18m/s)
2(180m
=0.9m/s
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(1) t. 1 0, use e(1)] 2 (2) 1 (3) use (2) in (1)] 2S1 (18m/s) 2(180m =0.9m/s

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Step 2

The time required for the last ...

2
252
a
2(180m 75m
0.9m/s
-23.80s
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2 252 a 2(180m 75m 0.9m/s -23.80s

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