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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?
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
Full Transcript
- 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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