Earth rotates eastward with linear speed at the equator

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Earth rotates eastward with linear speed 0.46 km s−10.46\,\text{km s}^{-1} at the equator. Ignoring air resistance, what minimum launch speed relative to Earth’s surface must a rocket provide to escape when launched vertically from the equator? (Escape speed from the surface is 11.2 km s−111.2\,\text{km s}^{-1}.) (a) 10.7 km s−110.7\,\text{km s}^{-1} (b) 11.7 km s−111.7\,\text{km s}^{-1} (c) 11.2 km s−111.2\,\text{km s}^{-1} (d) 11.0 km s−111.0\,\text{km s}^{-1}

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