Velocity - speed, distance and time - math lesson - Free Educational videos for Students in K-12 | Lumos Learning

Velocity - speed, distance and time - math lesson - Free Educational videos for Students in k-12


Velocity - speed, distance and time - math lesson - By tecmath



Transcript
00:00 Good day and welcome to the Tech Math channel ,
00:02 we're going to be having a look at in this
00:03 video is , we're going to be looking at calculations
00:05 involving speed . These are ones where we would either
00:08 be working at , say , how far something was
00:11 going in terms of , say kilometers per hour or
00:14 MPH given , uh , time and distance or maybe
00:18 working at distance calculations or time calculation . So everything
00:22 involving speed , how far and how fast and that
00:25 sort of thing . Now , I'm gonna assume when
00:27 we're doing this , you don't know very much ,
00:28 okay . Uh , but we're gonna be going through
00:32 this and I'll show you a few good little tricks
00:33 . Now , this is my really , really bad
00:35 drawing of a car and I'll draw this on here
00:36 for a reason not to show you my astounding art
00:39 skills , which I know , I know they are
00:41 incredible . But what I'm actually looking at with this
00:44 is this is the thing most people understand with speed
00:47 , okay ? Because you're driving down the road and
00:50 quite often you see , and quite possibly pay attention
00:54 to these particular signs . Okay ? And I'll tell
00:58 you how fast you should be going . Okay .
01:00 Speed limit signs . Most people know this . Okay
01:02 . So speed is our , okay , this is
01:05 a speed we should be going . I'll even write
01:07 that down there . Speed should be equal To 60
01:11 , that's 60 . What ? And most people do
01:13 understand if you're in Australia , that means 60 km
01:19 Per hour . Or if you're in the states ,
01:21 you might call this 60 mph . But straight away
01:26 We have got ourselves a formula . Okay , I'm
01:29 gonna rub this 68 because it's sort of a relevant
01:32 place might not say that , but you're gonna see
01:35 here . But what we have is we have a
01:39 distance over time . Okay , The speed is equal
01:45 to distance , Okay , over time , this might
01:50 be MPH or something like this . So I'm gonna
01:53 write our formula down here . Speed is equal to
01:57 no rub their their . So when we do this
02:02 , we're gonna say distance over time . Look ,
02:11 I'm gonna leave that car up there for the minute
02:13 just so you can all bask in my , my
02:15 great , my great art . But you see this
02:17 will be something like a kilometers per hour or MPH
02:23 or meters per second . I think of labor .
02:25 The point on that one . So you should know
02:28 the formula is is a really great way of remembering
02:30 this particular formula . Okay , so that type of
02:33 question you might get asked what this is . Say
02:35 , You might say , what is the speed of
02:37 an object ? What is the speed of a car
02:39 ? If it goes and you'll be given a distance
02:42 and you'll be given a time . So let's ,
02:44 let's give you one here , say we were given
02:46 a distance of uh , it went , uh ,
02:50 let's say 120 kilometers and it did this in a
02:56 time of uh , let's say five hours . It
03:02 was flying along that it's not very fast at all
03:05 . So how would we work out what speed ?
03:07 This car slowly went down the road or we go
03:10 distance Over time . Distance , which is 120 kilometers
03:17 again , For this particular one is km over time
03:23 . Five airlines . Okay , so 120 Divided by
03:31 five is Eagle two 24 24 kilometers . Uh huh
03:39 . Our . Okay . See kilometers . Uh huh
03:44 . Yeah , kilometers per hour . Okay , so
03:46 hopefully you're good with these . This doesn't matter if
03:49 you're talking about MPH . It's the same formula .
03:52 If you're talking about meters per second , it's the
03:54 same sort of thing . Okay , so our units
03:57 over here are going to change them . Okay .
04:00 Just one thing to be careful of with this ,
04:03 and that is a bit later on . You want
04:06 to watch these units and I'll give you a heads
04:08 up when we're doing these . So that's all well
04:11 and good . And that's if you want to work
04:12 at speed . But say we were given the speed
04:13 and were given a time and we want to work
04:15 out the distance . Something interesting to say we were
04:17 given a time . So we're giving a speech at
04:21 a distance . We want to do it at the
04:23 time . We were given a time to speed and
04:24 we wanted to work at this is how we do
04:26 this . We're gonna show you a little way of
04:29 being able to change this formula around , and this
04:31 is not involving anything divided by this at times you
04:35 buy this and then moving that over there and moving
04:37 this over here show you are far far simpler way
04:40 of doing this . And that is through this idea
04:43 . First off , you draw yourself a triangle .
04:48 Okay , this is my triangle here . Isn't it
04:50 beautiful . Put a T right in the middle of
04:52 it , and we're gonna be using that T .
04:54 Because I'm going to write this . Our formula here
04:56 are speed equals distance over time . Do you see
05:01 that speed is equal to distance over time ? Also
05:06 look , I know it's hard to do . I
05:08 am going to rub out this car . Okay .
05:10 What happens if we wanted to work out ? Say
05:12 , uh time ? The time calculation this would be
05:18 equal to And I'm gonna put my thumb over the
05:20 top of this and you're going to see that we
05:21 have the distance is over . The speed . Time
05:25 is equal to distance over speed , and that is
05:28 true . Okay , so distance over speed . Okay
05:42 , how's that for your ? Pretty good ? Say
05:44 we wanted to work out in fact , what about
05:48 first off ? I give you I example of this
05:52 , I say we were given a distance that had
05:54 been traveled , which was 1000 boils , I'm not
06:01 actually sure how to abbreviate miles , we don't tend
06:04 to use them over here Australia , but anyone wants
06:06 to tell me , I'm not sure , I sort
06:07 of feel like telling them using them before we abbreviate
06:09 meters over here , but we were doing a speed
06:13 . Oh uh so we were doing um It was
06:19 better take a 100 10 km now , but say
06:23 we were doing a speed of 60 boils , so
06:30 the hour . Mhm . How long will this take
06:34 ? So we would use our formula and we would
06:36 say that our time is equal two . This distance
06:44 , which is 1000 miles . I'm going to abbreviate
06:47 . Um I'm probably going to be doing totally wrong
06:49 there but Okay . Over the speed , which is
06:54 60 boils per hour . Okay , Now the answer
07:00 to that , if we were to do this is
07:04 is 16 .6 16.6 What you're going to see here
07:11 ? That this and this cancel each other out ?
07:14 So we're left with hours . Okay . And it
07:19 makes sense . Okay . This is a time measure
07:21 . We've got our measurement in hours . Okay .
07:23 And just be careful what have we got these particular
07:26 decimals involving thomas ? Doesn't mean uh you know ,
07:29 this is actually 0.6 of 60 minutes . So so
07:32 just yeah , just , just be careful of those
07:34 . Anyway , what about we now work out a
07:38 distance measurements , so hopefully that's pretty good . So
07:43 let somebody look at a distance measurement . So I'll
07:46 get my lucky red pen and I'll go distance and
07:52 this is equal to distance . I put my thumb
07:56 over this here , my yellow pen and I will
07:59 say that it equals their speed times time . Okay
08:03 , so distance equals speed times time . Okay ,
08:06 speed times time . Okay , so say we were
08:15 given a um speed uh what about we were doing
08:25 100 kilometers forever and we were given a time of
08:41 30 minutes and I'll chuck this in here today ,
08:45 a little bit confusing here to show you a little
08:47 pitfall here . Now first off , what you're gonna
08:50 notice is we can go this time is correct .
08:52 We can't and I'll tell you why because their biggest
08:55 problem with this is our units are not the same
08:57 here , We've got time measurement Where they're in different
09:00 units . Now we have to get these units the
09:03 same before we start . So I'm gonna change this
09:06 into ours , so 30 minutes is happy hours and
09:10 you're gonna see that half an hour , which I'm
09:13 going to write as 0.5 hours . Mhm . Okay
09:22 , so our speed is equal , not working at
09:27 speed , What am I doing ? A distance is
09:31 equal to speed , times time speed , Which is
09:36 100 kilometers the hour , And this is times 0.5
09:44 hours trying to squash in my work there . Okay
09:49 , so with this , Okay , um what are
09:55 we gonna do now ? We're gonna multiply these guys
09:56 out together , so 0.5 times 100 and we're going
09:59 to get an answer . 2.5 times 100 is 50
10:02 50 watts . And we're going to see that hours
10:05 cancel each other out because this is dividing and this
10:08 is timely at the time , so we're just going
10:10 to end up with kilometers . Okay , so our
10:14 distance is 50 km , so hopefully you're fairly good
10:19 with these . Okay , so there's a couple of
10:21 things to remember that , how to work out those
10:23 distance over time type measurements , but then how to
10:25 change them around and then it's just a simple matter
10:27 of plugging things into the formula anyway , hopefully you
10:31 understand that and hopefully it's really good . Any questions
10:34 comments as usual ? Please send them through anyway .
10:37 Take care of yourself .
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