A missile is fired off the surface of the Earth with speed v at a 45 degree angle. It reaches a maximum height above the surface of 6,370 km (which is coincidentally equal to the radius of the Earth). What is the speed when it reaches that height? Involve the definition and value of the escape velocity discussed in class to simplify number crunching in coming up with the solution.

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To find the speed of the missile when it reaches a height equal to the radius of the Earth we can use the conservation of energy principle considering ... View the full answer