An electric train accelerates uniformly from rest to a speed of 20m/s which it maintains until the brakes are applied. It is then brought to rest by uniform retardation equal in magnitude to twice its former acceleration. The total distance covered is 7.8km and the total time taken is 7 minutes. Sketch a velocity-time diagram. Calculate  (a) the time taken for which the train is travelling at a constant speed, (b) the initial acceleration in m/s^2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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An electric train accelerates uniformly from rest to a speed of 20m/s
which it maintains until the brakes are applied. It is then brought to rest
by uniform retardation equal in magnitude to twice its former acceleration.
The total distance covered is 7.8km and the total time taken is 7
minutes. Sketch a velocity-time diagram. Calculate 

(a) the time taken for which the train is travelling at a constant speed,
(b) the initial acceleration in m/s^2

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