The image shows a mathematical physics exercise about determining the intensity of gravitational acceleration $g_0$ using projectile motion. Here's a breakdown of the provided text:

1. Equation for vertical motion: $y(t) = -\frac{1}{2} g t^2 + V_0 \sin(\theta) t + y_0$ where:

   • $g$: gravitational acceleration,
   • $V_0$: initial velocity,
   • $\theta$: angle of projection,
   • $y_0$: initial vertical position.

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