Answer:
The answer is (a.) An upward force balances the downward force gravity on the skydiver
The skydiver is falling at a constant velocity because the upward force is balancing the downward force of gravity. According to Newton, the opposite force balance each other. This is stated in Newton's second law of motion.
Answer:
2 secs; 65 feet
Explanation:
The function guiding the water bottle is given as:
f(x) = -16t² + 64t + 1
The bottle will reach maximum height when velocity, df/dt (velocity is the first derivative of distance) = 0.
Therefore:
df/dt = 0 = -32t + 64
=> 32t = 64
t = 64/32 = 2 seconds
This is the time it will take to reach the maximum height.
To find this height, we insert t = 2 into the function f(x):
f = -16(2)² + 64(2) + 1
f = -(16 * 4) + 128 + 1
f = -64 + 128 + 1
f = 65 ft
Its maximum height is 65 ft.
Answer:
(a). The thickness of the glass is 868 nm.
(b). The wavelength is 3472 nm.
Explanation:
Given that,
Refractive index = 1.20
Wavelength = 496 nm
Next wavelength = 386 nm
We need to calculate the thickness of the glass
Using formula for constructive interference

Put the value into the formula
In first case,
.....(I)
In second case,

.....(II)
From equation (I) and (II)



Put the value of m in equation (I)


The thickness of the glass is 868 nm.
(b). We need to calculate the wavelength
Using formula of constructive interference


Put the value into the formula


Hence, (a). The thickness of the glass is 868 nm.
(b). The wavelength is 3472 nm.
The wavelength of a standing wave is 8.13 m.
<h3>What is a wavelength?</h3>
The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.
The wavelength is also defined as the distance between two locations in a wave that have the same oscillation phase.
The given data in the problem is;
String length(L)= 48.8 metere
Wavelength(λ)=?
The length of the wave having n nodes is found as;
L=nλ
Substitute the given value;
48.8 = 6λ
λ= 8.13 m
Hence, the wavelength of a standing wave is 8.13 m.
To learn more about the wavelength, refer to the link;
brainly.com/question/7143261
#SPJ1