Physics Question from JEE Main 2023 · 30 January, Shift 2

A body of mass $2 \, \text{kg}$ is initially at rest. It starts moving unidirectionally under the influence of a source of constant power $P$. Its displacement in $4 \, \text{s}$ is $\frac{1}{3} \alpha^2 \sqrt{P}$ meters. The value of $\alpha$ will be _____