Let R denote the radius of the earth. An object is projected vertically from the surface of the earth with velocity v. Its velocity when it reaches a height R above the surface is. The maximum height above the surface that the object reaches is:
Answers
Given : An object is projected vertically from the surface of the earth with velocity v.
To Find : Its velocity when it reaches a height R above the surface is. The maximum height above the surface that the object reaches is:
Solution:
Initial velocity = v
acceleration = -g
Using formula ( final velocity )² - (initial velocity)² = 2aS
Its velocity when it reaches a height R above the surface = x
=> x² - v² = 2(-g)R
=> x² = v² - 2gR
=> x = √(v² - 2gR)
velocity when it reaches a height R above the surface = √(v² - 2gR)
The maximum height above the surface that the object reaches is: h
velocity will be zero at max height
=> 0² - v² = 2(-g)h
=> v² = 2gh
=> h = v² /2g
The maximum height above the surface that the object reaches is: v² /2g
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