1 00:00:03,650 --> 00:00:06,150 I'd like to talk to you about solving 2 00:00:06,150 --> 00:00:07,920 these kinematics problems. 3 00:00:07,920 --> 00:00:10,730 So we're going to actually start by asking ourselves 4 00:00:10,730 --> 00:00:13,210 three separate questions anytime we 5 00:00:13,210 --> 00:00:15,276 start one of these kinematics problems 6 00:00:15,276 --> 00:00:16,900 and this will help us really figure out 7 00:00:16,900 --> 00:00:19,400 what's happening in the motion. 8 00:00:19,400 --> 00:00:21,330 So the first question that we want to ask 9 00:00:21,330 --> 00:00:23,840 is, how many objects are moving? 10 00:00:23,840 --> 00:00:27,570 So do we care about more than one object, and if we do, 11 00:00:27,570 --> 00:00:30,180 we need to make sure to label each one distinctively. 12 00:00:30,180 --> 00:00:32,180 We also want to know how many dimensions we need 13 00:00:32,180 --> 00:00:35,240 to care about for each object. 14 00:00:35,240 --> 00:00:37,460 The second question that we want to ask ourselves 15 00:00:37,460 --> 00:00:40,980 is, how many stages of motion does each object have? 16 00:00:40,980 --> 00:00:43,110 So for an example, if you're told 17 00:00:43,110 --> 00:00:45,530 that a bicycle is initially accelerating 18 00:00:45,530 --> 00:00:48,110 and then, at a certain time, it stops accelerating, 19 00:00:48,110 --> 00:00:50,470 then you know that that initial acceleration 20 00:00:50,470 --> 00:00:52,730 is going to have different equations of motion 21 00:00:52,730 --> 00:00:54,890 than the point in time where it now has 22 00:00:54,890 --> 00:00:58,290 an acceleration equal to zero. 23 00:00:58,290 --> 00:01:00,400 The final thing that we want to think about, 24 00:01:00,400 --> 00:01:03,720 we want to figure out what special conditions there are. 25 00:01:03,720 --> 00:01:07,910 So for example, you might be told that the cart is initially 26 00:01:07,910 --> 00:01:08,670 at rest. 27 00:01:08,670 --> 00:01:10,600 So what does that mean in reality? 28 00:01:10,600 --> 00:01:15,210 It means that you can write down something like, v of 0 29 00:01:15,210 --> 00:01:18,370 is equal to 0, that's what it means for the cart 30 00:01:18,370 --> 00:01:19,780 to initially be at rest. 31 00:01:19,780 --> 00:01:25,250 v cart is-- v at time 0 is equal to 0. 32 00:01:25,250 --> 00:01:27,310 So those are the kinds of special conditions 33 00:01:27,310 --> 00:01:29,560 that you need to pay attention for in the problem 34 00:01:29,560 --> 00:01:31,520 and that will help you figure out-- 35 00:01:31,520 --> 00:01:33,900 get all of the numbers or the variables 36 00:01:33,900 --> 00:01:36,270 that you need to solve your equation. 37 00:01:36,270 --> 00:01:38,664 Once you're done thinking through these different steps, 38 00:01:38,664 --> 00:01:40,039 the final thing you should always 39 00:01:40,039 --> 00:01:45,490 do before starting a problem is draw out your problem, 40 00:01:45,490 --> 00:01:49,360 properly label your system, and then of course 41 00:01:49,360 --> 00:01:56,650 draw your origin, your axes, and your unit vectors. 42 00:01:56,650 --> 00:01:58,620 And this way, it will be easy for you 43 00:01:58,620 --> 00:02:02,640 to organize all of the different information that you have.