Answer:

Explanation:
The standard form of the 2nd order differential equation governing the motion of mass-spring system is given by

Where m is the mass, ζ is the damping constant, and k is the spring constant.
The spring constant k can be found by




The damping constant can be found by



Finally, the mass m can be found by



Where g is approximately 32 ft/s²

Therefore, the required differential equation is


The initial position is

The initial velocity is

Answer:
Epidermis
Explanation:
The epidermis is an important layer forming the skin that is mainly responsible for providing protection from the incoming harmful solar radiations, that are comprised of ultraviolet particles. These UV rays can cause various diseases like skin cancer.
When the solar radiations containing UV radiations (mostly the UV-B type radiation having a wavelength 290-315 nanometer) strikes the cells of human beings, then the protein that is stored within the skin named '7- dehydrocholesterolit (DHC)' is transformed into the vitamin d3 inside the cells.
We are given with a volume of a cube equal to 512 cm3. In this case, when the volume is expressed to cubic meters, the volume will still stay the same but the number of cubic units would decrease. a centimeter is a smaller unit than a meter, hence the value given should be divided by 1 million to express to m3.
Acceleration is the rate of change of velocity, and velocity is the change in displacement over the change in time so the answer would be A.
The average speed of the car is 93.33 km/hr and the average velocity of the car is 40 km/hr.
The total distance cover in east direction is=100*3=300 km
The total distance cover in the west direction=80*1.5=120 km
The total distance covered is =300+120=420 km
And Total displacement of the car is =300-120=180 km
As we know that the average speed is given as
Avg Speed =Total Distance / Total time
=420/4.5=93.33 km/hr
As we know that the average velocity is given as
Avg Speed =Total Displacement/ Total time
=180/4.5=40 km/hr
Therefore, The average speed of the car is 93.33 km/hr and the average velocity of the car is 40 km/hr.