Answer:
Measure the area under the graph.
Explanation:
To calculate the distance traveled by a car (or anything) using a velocity-time graph, just measure the area under the graph! This is super easy. :)
I will use the graph below as an example. If you needed to find the distance traveled from 4 seconds to 10 seconds, you would just find the area under those two points. The dark blue is the area we need to find the area of.
The area of a rectangle is a A = bh
A = bh
A = (6 s)(8 m/s)
A = 48 meters
If you wanted to find the area from 0 seconds to 4 seconds, you would find the area of the light blue triangle.
A = 1/2bh
A = 1/2(4 s)(8 m/s)
A = 16 meters
If you wanted to find the area from 0 seconds to 10 seconds, you would just add these two areas!
A1 + A2
48 meters + 16 meters = 64 meters
I really hope this helped! :)
Answer:
Explanation:
We define density as
So, the volume for our oil will be
the volume for a cylinder with radius r and height h is
So, we can obtain the height of the droplet of oil as:
the radius is
And this is the diameter of the oil molecule.
Answer:
The amplitude is
Explanation:
From the question we are told that
The frequency of when sound is approaching observer is
The frequency as the move away from observer is
The time between the pitch are
Here you are the observer and your friends are the source of the sound
The period is mathematically evaluated as
as it is the time to complete one oscillation which from on highest pitch to the next highest pitch
Now T can also be mathematically represented as
Where is the angular velocity
=>
=>
Now using Doppler Effect,
The source of the sound is approaching the observer
The
Where A is the amplitude
So when the source is moving away from the observer
Here is the fundamental frequency
Dividing the both equation we have
=>