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Find the value of $s$ at the moment when the particle is at rest again.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A particle travels in a straight line, beginning from rest. The displacement $s\,\text{m}$ from a fixed point $O$ on the line after $t\,\text{s}$ is $s = t^{\frac{5}{2}} - \frac{15}{4}t^{\frac{3}{2}} + 6$.