A space probe is fired as a projectile from the Earth's surface with an initial speed of 2.05 104 m/s. What will its speed be when it is very far from the Earth

The value is  

Explanation:

From the question we are told that

  The  initial speed is

 Generally the total energy possessed by the space probe when on earth is mathematically represented as

Here   is the kinetic energy of the space probe due to its initial speed which is mathematically represented as

=>      

=>      

And   is the kinetic energy that the space probe requires to escape the Earth's gravitational pull , this is mathematically represented as

Here is the escape velocity from earth which has a value

=>    

=>    

Generally given that at a position that is very far from the earth that the is Zero, the kinetic energy at that position is mathematically represented as

Generally from the law energy conservation we have that

So

=>    

=>    

=>    

the components of a vector are the parts of the vectors that are to each other.

b perpendicular