A cannonball is fired at 175 (m/s), straight up in the air, by accident. Quickly realizing the error, the commanding officer orders the gunners to fire another cannonball straight up to hit the one coming down. In order to be safe, the two cannon balls must explode at a given hight of 585 (m). What is the maximum time (in seconds) the second cannonball can be fired after the first, such that the two cannaballs collide, exploding safely above the regiment? How fast (velocity) will the first cannon ball be traveling just before the collision? How fast (velocity) will the second cannon ball be traveling just before the collision?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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A cannonball is fired at 175 (m/s), straight up in the air, by accident. Quickly realizing the error, the commanding officer orders the gunners to fire another cannonball straight up to hit the one coming down. In order to be safe, the two cannon balls must explode at a given hight of 585 (m).

What is the maximum time (in seconds) the second cannonball can be fired after the first, such that the two cannaballs collide, exploding safely above the regiment? 

How fast (velocity) will the first cannon ball be traveling just before the collision? 

How fast (velocity) will the second cannon ball be traveling just before the collision? 

 

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