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Gazarai
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If an object is launched at escape velocity from the surface of the Earth, how long will it take to reach a given height h? Ignoring air resistance and other gravity, etc.
Escape velocity is the minimum speed needed for an object to leave the gravitational influence of a larger body, such as a planet or moon.
The escape velocity can be calculated using the formula v = √(2GM/r), where v is the escape velocity, G is the gravitational constant, M is the mass of the larger body, and r is the distance from the center of the larger body to the object.
The escape velocity is affected by the mass and size of the larger body, as well as the distance from the center of the body to the object. A larger and more massive body will have a higher escape velocity, while a smaller and less massive body will have a lower escape velocity.
Yes, it is possible for an object to exceed the escape velocity of a larger body. This will result in the object leaving the gravitational influence of the larger body and entering into space.
The time it takes for an object to reach escape velocity depends on its initial speed and the acceleration due to gravity of the larger body. The greater the initial speed, the shorter the time it takes to reach escape velocity. Once escape velocity is reached, the object will continue to move away from the larger body at a constant speed unless acted upon by another force.