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AP Physics 1: 1.3 Object Interaction and Forces 236 Views


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Hi there. We'd like to wave hello to you, but the internet isn't letting us. So instead, accept this fun question about waves and physics! It's almost  the same thing, right?

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Transcript

00:00

Thank you We sneak and here's yours from obtuse your

00:05

brought to you by waves We tried to go surfing

00:08

ones but apparently it's not cool for surfers toe wear

00:11

water wings All right check out the following diagram Given

00:15

the plot for velocity above which of the following plots

00:19

marks displacement and which marks acceleration here your potential answers

00:27

It will answer this question There are a few important

00:29

things to remember First thing to remember is that calculus

00:32

is fun Just keep repeating that to yourself over and

00:35

over until you really start to believe it We also

00:37

need to remember that velocity is the slope of the

00:40

plot for displacement versus time and acceleration is the slope

00:45

of the plot for velocity versus time Oh we almost

00:48

forgot the third thing to remember when plotting the slopes

00:51

of waves like this is that the slope of a

00:53

sine wave is a co sign way So in the

00:56

slope of a co sign wave is an inverse sine

00:58

wave a negative sign Wake now that we've got all

01:01

this down let's just take a look at our first

01:03

plot This first part sure looks like a co sign

01:06

Wave tow us So if this is the plot for

01:08

velocity and velocity is the slope for displacement versus time

01:12

than the plot for disco placement will be a sine

01:15

wave if we look at our three choices will see

01:17

that plot is a co sign Wave b is a

01:20

negative sign wave and see is a sine wave also

01:23

looking at our original plot for velocity the second part

01:26

of it the flat line is a constant negative value

01:29

right Well after all the whole thing is below zero

01:31

on the y axis So philosophy is a constant negative

01:34

value in this plot the displacement plot has to include

01:38

a segment with a constant negative slope and plot c

01:41

is the only one that fits the bill Now remember

01:42

what we said earlier Acceleration is the slope for velocity

01:46

If velocity kicks off with a cho sun wei acceleration

01:49

starts with a negative sign and just to be clear

01:52

that's s i n e s i g and also

01:55

the slope of a flat line is zero So the

01:57

acceleration plot should also be zero for the second segment

02:01

Looking over our plot options we only have one negative

02:04

Sine wave and only one with a segment that has

02:07

a flat line of zero Lucky for us they're both

02:09

part of a plot B If we take all that

02:11

we just did Well we'll see The correct answer is

02:13

option d plot See mark's displacement while plot b marks

02:17

acceleration that was a hard one Clearly waves and physics

02:21

can be tricky very very tricky but they're usually safer 00:02:24.17 --> [endTime] than waves in the ocean Please

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