Motion in a Straight Line

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Question : 6
Total: 27
A car moving along a straight highway with speed of 126 km h1 is brought to a stop within a distance of 200 m. What is the retardation of the car (assumed uniform), and how long does it take for the car to stop?
Solution:  
Here, u=126 km h1
=
126×1000
60×60
ms1

=35 ms1
v=0,S=200 m,a=? and t=?
We know, v2=u2+2aS
0=(35)2+2×a×200
or a=
(35)2
2×200

=
49
16
=3.06 ms2

As, v=u+at
0=35+ (
49
16
)
t

or t=
35×16
49

=
80
7
=11.43 s

–ve sign shows that acceleration is negative, which is called retardationi.e. car is uniformally retarded at a=3.06 ms2.
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