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The description of the movement of bodies by their position, velocity, acceleration (and possibly higher time derivatives, such as, jerk) without concern for the underlying dynamics/forces/causes.
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Proof of a formula relating launch velocity of projectile to times of ascent and descent
The height $h(t)$ of the body as a function of time is $$h(t)=-\frac{1}{2}gt^2+vt$$ with $v$ the initial speed. At $t_1$ and $t_2$, the body will be at the same height. It means that $$h(t_1)=h(t_2)$$ …