# Modeling ODE

Calculus Level 1

Suppose that we drop a stone, which falls freely with no air resistance. Experiments show that, under that assumption of negligible air resistance, the acceleration $${y}^{\prime\prime}=\frac { {d}^{2}y }{ {d}^{2}t }$$ of this motion is constant, i.e. equal to the so-called acceleration of gravity $$g=9.8 \text{ m/sec}^2.$$ State this as an ordinary differential equation for $$y(t),$$ the distance fallen as a function of time $$t.$$

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