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A drag racing car starts from rest at t=...

A drag racing car starts from rest at t=0 and moves along a straight line with velocity given by `v=bt^(2)`, where b is a constant. The expression for the distance traveled by this car from its position at t=0 is

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[" A particle starts from "],[" rest at "t=0" and moves "],[" along a straight line with "],[" a variable acceleration "],[" given by a "(t)=(3t+1)ms^(-2)],[" where "t" is in seconds."],[" The velocity of the "],[" particle at "t=4s" is "]