Answer:
(I). The time at highest point 4.0 sec.
(II). It returns to back to its original height in 8.1 sec
Explanation:
Given that,
Velocity 
(I). We need to calculate the time at highest point
Using equation of motion

Where, v = final velocity
u = initial velocity
g = acceleration due to gravity
t = time
Put the value into the formula




(II). We know that, when the ball to travel from the initial point and reached at initial point then the displacement is zero.
We need to calculate the total time when it returns to back to its original height
Using equation of motion

Where, s = displacement
g = acceleration due to gravity
t = time
u = velocity
Put the value in the equation



Hence. (I). The time at highest point 4.0 sec.
(II). It returns to back to its original height in 8.1 sec
Here is your answer
We know that
Velocity = Wavelength/Time period
Here,
Wavelength = 200m
Time period= 20 secs
So,
Velocity= 200/20 m/s
v= 10m/s
HOPE IT IS USEFUL
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Answer:
The speed of the galaxy relative to the Earth is
.
Explanation:
We have,
(a) Wavelength emitted by light at distant galaxy is 434.1 nm. On earth, the wavelength of this light is measured to be 438.6 nm. It can be seen that the wavelength of light reduces as it reaches Earth. It is called Red shift. As per Doppler's effect, we can say that the galaxy is receding from the Earth.
(b) Let v is the speed of the galaxy relative to the Earth. It can be given by :

So, the speed of the galaxy relative to the Earth is
.
To solve this problem we will apply the concept of voltage given by Coulomb's laws. From there we will define the charges and the distance, and we will obtain the total value of the potential difference in the system.
The length of diagonal is given as

The distance of the center of the square from each of the corners is

The potential electric at the center due to each cornet charge is




The total electric potential at the center of the given square is


Al the charges are equal, and the distance are equal to a, then


Therefore the correct option is E.