Answer: 4 ft/s
Explanation:
Given
height of man![=4 ft](https://tex.z-dn.net/?f=%3D4%20ft)
speed of person ![v=8 ft/s](https://tex.z-dn.net/?f=v%3D8%20ft%2Fs)
height if street light![=12 ft](https://tex.z-dn.net/?f=%3D12%20ft)
Let x be the distance between person and street light and y be the length of his shadow
From diagram
as the two triangle ADE and ABC are similar therefore we can say that
![\frac{4}{12}=\frac{y}{x+y}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B12%7D%3D%5Cfrac%7By%7D%7Bx%2By%7D)
![\frac{1}{3}=\frac{y}{x+y}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%3D%5Cfrac%7By%7D%7Bx%2By%7D)
![x+y=3y](https://tex.z-dn.net/?f=x%2By%3D3y)
![x=2y](https://tex.z-dn.net/?f=x%3D2y)
differentiate above Equation w.r.t time we get
![\frac{\mathrm{d} x}{\mathrm{d} t}=2\frac{\mathrm{d} y}{\mathrm{d} t}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cmathrm%7Bd%7D%20x%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D2%5Cfrac%7B%5Cmathrm%7Bd%7D%20y%7D%7B%5Cmathrm%7Bd%7D%20t%7D)
![\frac{\mathrm{d} y}{\mathrm{d} t}=\frac{8}{2}=4 ft/s](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cmathrm%7Bd%7D%20y%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D%5Cfrac%7B8%7D%7B2%7D%3D4%20ft%2Fs)
<h2>
Number of revolutions required to travel 100 yards is 57.</h2>
Explanation:
Diameter of tire,D = 20 inches
Perimeter of tire = πD
Perimeter of tire = π x 20 = 62.8 inches
Distance traveled = 100 yards
1 yard = 36 inches
Distance traveled = 100 x 36 = 3600 inches
In one revolution it travels 62.8 inches.
![\texttt{No of revolutions = }\frac{3600}{62.8}\\\\\texttt{No of revolutions = }57.32\\\\\texttt{No of revolutions = }57](https://tex.z-dn.net/?f=%5Ctexttt%7BNo%20of%20revolutions%20%3D%20%7D%5Cfrac%7B3600%7D%7B62.8%7D%5C%5C%5C%5C%5Ctexttt%7BNo%20of%20revolutions%20%3D%20%7D57.32%5C%5C%5C%5C%5Ctexttt%7BNo%20of%20revolutions%20%3D%20%7D57)
Number of revolutions required to travel 100 yards is 57.
Answer:
Electromagnetic Induction or Induction is a process in which a conductor is put in a particular position and magnetic field keeps varying or magnetic field is stationary and a conductor is moving. This produces a Voltage or EMF (Electromotive Force) across the electrical conductor.
The amplitude of wave-c is 1 meter.
The speed of all of the waves is (12meters/2sec)= 6 m/s.
The period of wave-a is 1/2 second.