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A soldier at Military Training Base, fires a missile (which describes a projectile motion) in such a way that it reaches a point A of its path in time t, and it takes the time t' from the point A to reach a far horizontal distance, which is at the same level ground as the point of projection of the missile. Prove that the height of the point A above the horizontal ground is 1/2 gtt' and the greatest height ever achieved by the missile is 1/2g(t + t')2

A soldier at Military Training Base, fires a missile (which describes a projectile motion) in such a way that it reaches a point A of its path in time t, and it takes the time t' from the point A to reach a far horizontal distance, which is at the same level ground as the point of projection of the missile. Prove that the height of the point A above the horizontal ground is 1/2 gtt' and the greatest height ever achieved by the missile is 1/2g(t + t')2

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A soldier at Military Training Base, fires a missile (which
describes a projectile motion) in such a way that it reaches a point
A of its path in time t, and it takes the time t' from the point
A to reach a far horizontal distance, which is at the same level
ground as the point of projection of the missile. Prove that the
height of the point A above the horizontal ground is 1/2
gtt' and the greatest height ever achieved by the missile is 1/2g(t + t')2 

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