A train is moving at a speed of 50m/s and reduces its speed to 10m/s by covering a distance of 240m then find the retardation of the train.
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Explanation:
Initial velocity u=30m/s
Final velocity, v=10m/s
Distance traveled, s=240m
2 −u\2
=2as where 'a' is acceleration
100−900=2as
a= 2×240
−800
=− 6
10 m/s
2F=ma=−m
6 10
=1.125a ′
=1.125a=1.125×
6−10
=−1.875m/s
2
New distance traveled when v
=0 v 2−u
2=2a
′s
′0−900=2×(−1.875)×s
s =
2×1.875
900
=240m
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