How Do You Find a Specific Horizontal Distance in a Projectile Problem?

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To find a specific horizontal distance in a projectile problem, first determine the time it takes for the projectile to reach a known height (y). Since horizontal and vertical motions are independent, this time can be used to calculate the horizontal distance (x). By applying the formula for horizontal motion, you can find how far the projectile travels during that time. This method allows for precise calculations of horizontal distance at specific heights. Understanding the relationship between time, height, and horizontal distance is key in solving these problems.
Jason03
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When you have a basic projectile problem, What is the easiest way to find a specific horizontal distance in the problem.( other than the full horizontal distance that the projectile travels)

Say you know the height (y) but want to find the distance (x).
 
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In the basic projectile problems, the horizontal and vertical motions are independent of each other; but if along its path the particle is at the point (x,y), then that means that the time it is at x is the same time it is at y.

So if you know the height, find out at what time it is at that height; then find out how far horizontally it has gone in that time.
 

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