(4) 4.0 m/s is the correct answer
Answer:
dh/dt = 0.0566 feet / min
Explanation:
Volume per second, dV/dt = 30 cubic feet per minute
Diameter of cone = height of cone = h
at h = 15 feet, dh/dt = ?
Volume of cone is
V = πr²h
where, r be the radius of cone
According to question
radius of cone = half of diameter of cone = h /2
So,


Differentiate both sides with respect to h

by substituting the values

dh/dt = 0.0566 feet / min
<span>23 hours 56 minutes and 4 seconds</span>
Answer:
x(t) = 0.077cos(6.455t)
Explanation:
If the spring can be stretched 0.2 m by a force of 50 N, then the spring constant is:
k = 50 / 0.2 = 250 N/m
The equation of simple harmonic motion is as the following:

where 
We also know that the initial velocity is 0.5 m/s, which is also the maximum speed at the equilibrium:


is the initial phase
Therefore, the position of the mass after t seconds is
x(t) = 0.077cos(6.455t)
Hey there!
Answer: Glaciers
Water near the poles would most likely be stored as glaciers. Glaciers are slow moving rivers that are a buildup of ice and snow.
Thank you!