The derivative of the function space as a function of time is equal to a function of speed as a function of time.
The velocity vector is given by the vector sum of the velocities of both axes.

If you notice any mistake in my english, please let me know, because I am not native.
It's A.Gas molecules moving more quickly..... hope it helps you dear
The magnitude of the air drag when the object is traveling at terminal velocity is C. 850 Newtons
Explanation:
There are only two forces acting on the object here:
- The force of gravity, of magnitude
, acting downward
- The air drag,
, acting upward
Therefore, the equation of motion for the object is

where m is the mass of the object and a its acceleration.
The object in this problem is traveling at terminal velocity: this means that the acceleration is zero, so
a = 0
Therefore the equation becomes

which means that the magnitude of the air resistance is equal to the magnitude of the force of gravity:

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Answer:
the required revolution per hour is 28.6849
Explanation:
Given the data in the question;
we know that the expression for the linear acceleration in terms of angular velocity is;
= rω²
ω² =
/ r
ω = √(
/ r )
where r is the radius of the cylinder
ω is the angular velocity
given that; the centripetal acceleration equal to the acceleration of gravity a
= g = 9.8 m/s²
so, given that, diameter = 4.86 miles = 4.86 × 1609 = 7819.74 m
Radius r = Diameter / 2 = 7819.74 m / 2 = 3909.87 m
so we substitute
ω = √( 9.8 m/s² / 3909.87 m )
ω = √0.002506477 s²
ω = 0.0500647 ≈ 0.05 rad/s
we know that; 1 rad/s = 9.5493 revolution per minute
ω = 0.05 × 9.5493 RPM
ω = 0.478082 RPM
1 rpm = 60 rph
so
ω = 0.478082 × 60
ω = 28.6849 revolutions per hour
Therefore, the required revolution per hour is 28.6849