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The Acceleration due to Gravity on Different Planets
When a body is thrown upwards, the maximum height it reaches depends on two very obvious factors:  
1. the magnitude and direction of initial velocity  
2. the acceleration due to gravity on the planet  
   
Consider a body thrown vertically upwards, with an initial speed, u.  
The motion can be described by the following equation (see Equations of Motion)  
 
If we consider the instant at which the object reaches its maximum height, v = 0, so we have  
 
Looking at this equation, we see that, if objects are thrown upwards on different planets but each time with the same initial speed, we can say  
 
In other words the height the object will reach is inversely proportional to the acceleration due to gravity at the place considered.  
So, when comparing different planets, planet 1 and planet 2, we can write  
 
or  
 
   
see here for worked example  
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