Answer: If T is the time you wait to trim the lawn since you last did it and B is the lenght at which you trim, then the speed will be:
Explanation:
Let's say T is the time you wait to trim the lawn since you last did it (1 month for example) and B is the lenght at which you trim (10cm for example).
If v is the speed at which the lawn grows, then the lenght of the lawn as a function of time will be:
where 
is an arbitrary initial lenght. Let's say 
.
Then we have:
So, at time T the lawn has grown a lenght B. And the speed is:
As we presume that the fluid density is greater than the gas density based on common sense, the volume of the balloon decreases. The mass per unit volume is known as fluid density.
Greek letter stands in for and (rho). Mass per length squared, or M/L3, is the unit of measurement for density. Specific Weight vs. Weight Density: A fluid density, also known as specific density, is determined by dividing the fluid's weight by its volume. Weight per volume of a fluid is also referred to as weight density.
A mathematical term called "volume" describes how much three-dimensional space is occupied by an item or a closed surface. The measurement of volume is done in cubic units, like m3, cm3, in3, etc.
Learn more about fluid density here
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Answer:
dR/dt = 10.2 ft / s
Explanation:
Let's work this problem by finding the distance between the balloon and the motorcycle and then drift for the speed change of the distance
Balloon
y = y₀ +
t
Motorcycle
x = v₀ₓ t
Distance, let's use Pythagoras' theorem
R² = x² + y²
R² = (v₀ₓ t)² + (y₀ + t)²
v₀ₓ = 88 ft / s
= 8 ft / s
y₀ = 150 ft
R² = (8 t)² + (150 + 8 t )²
R² = 64 t² + (150 + 8t )²
This is the expression for the distance between the two bodies, the rate of change is the derivative with respect to time (d / dt)
2RdR / dt = 64 2 t + 2 (150 + 8t) 8
dR / dt = [64 t + (1200 + 64t )] / R
dR/dt = (1200 +128 t)/R
Let's calculate for the time of 10 s
dR / dt = (1200 + 128 10) / R = 2480 /R
R = √ [64 10² + (150 + 8 10)²
R = √ [6400 + 52900]
R = 243.5 ft
dR / dt = (2480) / 243.5
dR / dt = 10.2 ft / s
SOLUTION is given in attachment below.
Answer:Angular width of the electromagnetic wave after it emerges from between the buildings is 2.761 degree
Explanation:
The wavelength of the electromagnetic wave is
Consider two buildings as a single slit, for single slit diffraction dark fringes are located an angle of
where 
is frequency, 
is space between buildings.
For the first dark fringes
Angular width of the electromagnetic wave after it emerges from between the buildings is
