The retarding force on the car is:
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Let the car stops in S distnace
when force =F , then retardation on car a=
m
−F
the final velocity is 0
using V
2
−U
2
=2as also U=v ,V=0
we get v
2
=
m
2sF
...(1)
now let F
1
is applied to stop car in S distance with initial velocity U=3v ,we get
(3v)
2
=
m
2F
1
s
....(2)
from (1) and (2)
F
1
=9F
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