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Given that x α t², where x is displacement of body and t is time 
on removing α sign,x=bt² ..............1...where b is proportionality constant
now differentiating  1 with respect to time we get,
v=2bt where v is velocity
now on further differentiating we get ,
a=2b where a is acceleration
it means acceleration of body is constant, it is independent  of time
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