Find maximum height achievable when launched at given angle


A fireworks shell is launched vertically from point A with speed sufficient to reach a maximum altitude of 500 ft. A steady horizontal wind causes a horizontal acceleration of 0.5 ft/s2 without affecting the vertical motion. What angle acompensates for the wind such that the shell peaks directly over the launch point A? What is the maximum height h achievable when launched at this angle?

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Mechanical Engineering: Find maximum height achievable when launched at given angle
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