a body moves of the total of nine seconds starting fro rest with uniform velocity retardation which is twice the value of acceleration and then stops the duration of acceleration is
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Consider the acceleration of the is α and retardation is β
and according to question retardation is twice that acceleration then
β=2a
Body moves with acceleration α for t1 sec
v=u+at
v=0+αt1 .....(1)
Body retards with 2α for time t2 sec and then body becomes rest .
v=u+at
Here,
u=αt1v=0a=−2α
0=αt1−2αt2t1=2t2
As
t1+t2=9sec
Then,
t1=3sec
t2=6sec
Therefore, 3sec body moves with uniform acceleration.
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