Accelerating train problem
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Accelerating train problem

[From: ] [author: ] [Date: 11-09-11] [Hit: ]
a. What will be the speed of the last car as it passes the worker?-Finding the acceleration,u = 0, v = 23.0m/s,......
A 75-m-long train begins uniform acceleration from rest. The front of the train has a speed of 23m/s^2 when it passes a railway worker who is standing 200m from where the front of the train started.

a. What will be the speed of the last car as it passes the worker?

-
Finding the acceleration, a (m/s²)
u = 0, v = 23.0m/s, d = 200m
v² = u² + 2ad
23² = 0 + (2 x a x 200)
a = 23² /400 = 1.32 m/s²

For the end carriage .. u = 0, d = 275m, a = 1.32 m/s²
v² = u² + 2ad
v² = 0 + (2 x 1.32 x 275)
v² = 726 .. .. .. v = √726 .. .. .. ►v = 26.94 m/s
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