Answer:
The equation of motion is 

Explanation:
Lets calculate
The weight attached to the spring is 24 pounds
Acceleration due to gravity is 
Assume x , is spring stretched length is ,4 inches
Converting the length inches into feet 
The weight (W=mg) is balanced by restoring force ks at equilibrium position
mg=kx
⇒ 
The spring constant , 
= 72
If the mass is displaced from its equilibrium position by an amount x, then the differential equation is



Auxiliary equation is, 

=
Thus , the solution is 

The mass is released from the rest x'(0) = 0
=0


Therefore ,

Since , the mass is released from the rest from 4 inches
inches
feet
feet
Therefore , the equation of motion is 
Answer:
g/cm³
Explanation:
From the question given above,
The y-axis is representing mass (g)
The x-axis is representing volume (cm³)
Unit of slope =?
Slope of a graph is simply defined as the change in y-axis divided by the change in x-axis. Mathematically it is expressed as:
Slope = change in y-axis (Δy)/change in x-axis (Δx)
Slope = Δy/Δx
Thus, with the above formula, we can obtain the unit used for measuring the slope as follow:
y-axis = mass (g)
x-axis = volume (cm³)
Slope =.?
Slope = Δy/Δx
Slope = mass (g) /volume (cm³)
Slope = g/cm³
Therefore, the derive unit used for measuring the slope is g/cm³
In science and physics net force is the mean or overall of all the forces acting on an object.
D. It happens all the time
1) The object slows down due to kinetic friction.
2) The coefficient of kinetic friction is higher on a carpet than on the bare floor, therefore the object would slow down quicker on the carpet