In a physics lab experiment, a compressed spring launches

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Here we need to calculate the spring constant of the spring \(k=?\), which launches a ball with mass \(m=20 \mathrm{~g}=0.02 \mathrm{~kg}\) at an angle \(\theta=30^{\circ}\). The spring compression in the above case is given to be \(\Delta S=20 \mathrm{~cm}=0.2 \mathrm{~m}\), which is at \(h=1.5 \mathrm{~m}\). The ball moves a horizontal distance of \(x_{3}=5 \mathrm{~m}\) in time \(t_{3}\).