Step-by-step explanation:
The displacement of a particle d (in km) as a function of time t (in hours) is given by :
Displacement at t = 4 hours,
Velocity of particle is given by :
Velocity at t = 4 hours,
Acceleration of the particle is given by :
At t = 4 hours,
Therefore, the displacement, velocity and acceleration at t = 4 hours is 205 km, 136 km/h and 58 km/h² respectively.
Answer:
Step-by-step explanation:
<u>Function Modeling</u>
Since the air in the lungs goes periodically from a minimum value to a maximum value, we can simulate its behavior as a sinusoid. Selecting a sine or a cosine will depend on the initial condition we'll assume since the question doesn't provide one. We'll set the initial state when the lungs are at maximum air content. The sinusoid that starts from maximum is the cosine, so our model is
Where Ao is the amplitude of the oscillation, w is the angular frequency and M is the midline or y-displacement of the wave.
The values of A run from a min of 3.5 to a max of 4.5. That gives us twice the amplitude, thus
The vertical displacement or midline can be found as the shift from the center value:
We also know the cycle repeats 6 times per minute. If the time is expressed in minutes, then the frequency is f=6
Knowing that
Then
The model is
where t is expressed in minutes
Answer:
<h2>m<y= 30°</h2>Step-by-step explanation:
Because they are vertically opposite angles.
Vertically opposite angles are always equal.
<h3><u>About vertically opposite angles:</u></h3>Please see the attached picture.
There,
<AOC and <BOD are formed by the intersected line segments and they lie to the opposite side of the common vertex. They are called vertically opposite angles. <AOD and <BOC are another pairs of vertically opposite angles. Vertically opposite angles are always equal.
Hope this helps ...
Good luck on your assignment...
