A missile is fired at 840 m/s at an angle x to the horizontal. Prove that its range is the largest for x = 45 degree and find it.  

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The missile is fired at 840 m/s at an angle x to the horizontal. We can divide its velocity into a horizontal component equal to 840* cos x and a vertical component equal to 840* sin x.

The vertical component starts to decrease due to...

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