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Find the distance travelled from O up to the instant when the acceleration becomes zero.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A particle is initially at rest at point O. Its acceleration at time $t\text{ s}$ after leaving O is $a\text{ m s}^{-2}$, with $a = 2(t+1)^{-\frac{1}{2}} - 1$ for $t \geq 0$.