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Righteous is number one from the 2010 AP Physics P exam it is primarily a mechanics problem dealing with projectile motion and momentum and energy in there so let's get right to it, we've got a block that's compressed to a spring the spring pushes the block it'll travel once it leaves the spring at constant velocity until it gets the edge of the table it then it'll fall forward 1.2 meters while traveling down point 8 meters and hitting that target we want all the time elapsed from the incident block a leaves the table to the incident strikes the floor at this point in time we're looking at the back half of this problem we're looking at here the time it takes to go to this spot now recognize the only thing that determines the amount of time it takes the travel forward is really the time it takes the fall downward and at that instant we know a lot of stuff we know that the initial y velocity is zero it's not going up or down at all we're looking for my X velocity it's my unknown we know it will fall a total distance of 0.8 meters we know gravity is the thing pulling it down that's going to be negative 10 meters per second squared we're looking for the time it takes the fall that distance now we do know some other stuff like DX ends up being 1.2 meters x values will not come into play here remember for projectile motion isolate your Y's and your X's they're completely separate from each other when you do your physics you almost will always look in the Y dimension to find time, and then you're going to use that time to analyze your X dimension however in this example it is it well that's what we're going to do in this example however in this example they gave us the distance so instead of using time to find distance we might be using the time to find speed which we're going to find is true for B so for a PRE gonna look at our Y dimensions only we're gonna use what is typically the free fall equation the change in distance and this example is going to be height is giving your initial y velocity times time plus 1/2 GT squared or 80 squared since my initial y velocity zero I'm going to get rid of that I'm dealing with only two variables H and G, and they're both going to be negative, so I can really put them both in as positive it's not gonna muck up my physics, so that's what I'm going to do when I'm going to rearrange this for time ends up being the square root of two H or two Delta H over G which is give me the square root of two times point eight divided by ten well which ends up being radical one point six getting a time of point four seconds, so it's going to take point four seconds to fall down point eight meters as well as it'll take the travel to one point two meters I'm going to go ahead and toss that in my known list here, so I have it for other parts B wants us to now determine the initial speed of the block before it leaves the table well that is completely in the X dimension at that point this block is completely horizontal, so we're...
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