Question
An object is projected vertically upward from Earth's
surface with speedĀ v 0 = ā(GM/1.5R). The maximum height reached from the center of Earth is:Solution
We are given:
- Initial speed: v0 = ā(GM/1.5R)
- Object is projected vertically upward from Earthās surface (i.e., from distanceĀ Ā r = R)
- We are to find the maximum height from Earthās center , denoted as rmax
At the highest point, speed becomes zero, so only potential energy exists. Let the distance from Earth's center at maximum height be rmax Then: 
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