Question Number 222520 by mr W last updated on 29/Jun/25
Commented by mr W last updated on 29/Jun/25
$${a}\:{ball}\:{is}\:{released}\:{at}\:{the}\:{point}\:\left({d},\:{h}\right) \\ $$$${on}\:{to}\:{the}\:{ground}\:\:{which}\:{has}\:{the}\: \\ $$$${shape}\:{of}\:{a}\:{hyperbola} \\ $$$${with}\:{equation}\:−\frac{{x}^{\mathrm{2}} }{{a}^{\mathrm{2}} }+\frac{\left({y}+{b}\right)^{\mathrm{2}} }{{b}^{\mathrm{2}} }=\mathrm{1}.\: \\ $$$${the}\:{collision}\:{between}\:{the}\:{ball}\:{and} \\ $$$${the}\:{ground}\:{is}\:{elastic}. \\ $$$${describe}\:{the}\:{motion}\:{the}\:{ball}\:{will} \\ $$$${have}.\:{will}\:{the}\:{ball}\:{return}\:{back}\:{to}\:{this} \\ $$$${point}\:{after}\:{some}\:{time}?\:{if}\:{yes},\:\:{after} \\ $$$${how}\:{many}\:{times}\:{collision}\:{with}\:{the} \\ $$$${ground}\:{will}\:{this}\:{happen}? \\ $$
Commented by nECxx2 last updated on 05/Jul/25
$${isn}'{t}\:{this}\:{a}\:{parabola},\:{sir}? \\ $$
Commented by mr W last updated on 05/Jul/25
$${no}.\:{as}\:{said},\:{a}\:{hyperbola}\:{with}\:{given} \\ $$$${equation}. \\ $$