![]() ![]() To get confused, or if you don't want to beĬonfused when they use s, it's good to practice with it. You could kind of useĪnything, but this is what most people use. If you don't know what that is,ĭon't worry about it right now. Use d because when you start doing calculus,ĭerivative operator. Let me pick a nice colorįor displacement- blue. Know that velocity- and it is a vector quantity, Of it, just the notation will look a little The exact same thing, but the vector version And then if you wantedīoth sides by rate, and you get distance dividedīy rate is equal to time. So if we flip it around, you getĭistance is equal to rate times time. The formula for rate, or the formula for motion. Is equal to time times rate, or rate times time. You would have got, on the right hand side, distance So if you multiplied both sides by time here, In the variables, and you would have gotten. Very common sense things- rate is distanceĬommon sense things. Say, hey, that's just manipulating one of those otherįormulas that I got before. Want you to understand as we go through this In some physics classes, they'll show youĪll these formulas. We're left with, and on the left hand side, Thing as multiplying by the inverse, timesĭivided by 3 seconds. The meters that was on top, let me do that in green. To the numerator, you take the inverse of this. And then the leftĭivided by 3 times meters. Solve for time, you can divide both sidesīy 3 meters per second. Seconds in the denominator, so you'll just get meters. And that makes sense,Īt least units-wise, because time is going Time is equal to 720 meters because the times on the Scalar version of it, we're not dealing with And so we just have toįigure out the time. Or, sorry, they're notĭistance is 720 meters. Scalar part of it, they're telling us that Giving us in this problem, they're giving us the rate. Meant when you just write over time like that. Would write a little triangle, a delta there, which ![]() We think about just the scalar version of it, we saidĪlready that rate or speed is equal to the distance that So that it's displacement,Īs opposed to just distance, but we'll do it both ways. Say, how long will it take them to travelħ20 meters to the east, to make sure, to make it clear, Meters per second, then that would just be speed. Running at a constant velocity of three 3 meters per ![]() This is an important concept in video game development, and takes up a large portion of programming a typical video game.įew scenarios involving displacement, velocity, and So + and - don't represent true positive and negative values, in this case, they just try to show whether or not a value on the X, Y, or Z access has increased or decreased from it's original spot / value. So if the object is originally at (4, 2, 7), and the object moves, or is displaced, by a vector of (-1, 2, 0), then the final position is at (3, 4, 7). So the + and - don't mean that the actual value is negative, it just means that it is forward / backward relative to the * starting point * on the axis. If it were written as (0,-1,0), then this would denote that the object moves -1 on the Y axis, or what we might call "down". This states that the vector called num is +1 on the X axis. So instead, we will have something written like this: (assuming that "num" is a Vector object). However, in computer code, we have no way of cleanly saying "to the east," or "to the left." In video games, the motion of characters or objects and defined with vectors, just like this. The + and - designations are important in computer programming, especially with video game development. I'd like to add to this - I know this is an old question, but new readers might find this useful. ![]()
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