Answer:
24.25m/s
Explanation:
m = 0.5kg
u ( initial velocity) = 0m/s
v ( final velocity) =?
a = 9.8m/s^2
d (displacement) = 30m
Since u don't have time, u only have the choice to use this formula
V^2 = u^2 + 2ad
V^2 = 0 + 2 x 9.8 x 30
V^2 = 588
V = 24.25 m/s
In a double-slit interference experiment, the distance y of the maximum of order m from the center of the observed interference pattern on the screen is

where D=5.00 m is the distance of the screen from the slits, and

is the distance between the two slits.
The fringes on the screen are 6.5 cm=0.065 m apart from each other, this means that the first maximum (m=1) is located at y=0.065 m from the center of the pattern.
Therefore, from the previous formula we can find the wavelength of the light:

And from the relationship between frequency and wavelength,

, we can find the frequency of the light:
Distance covered is given as follows
1). 7 km North
2). 5 km North
3). 1 km East
Now total distance covered will be given as
Now in order to find the displacement we will show all with their directions
towards North
towards East
So total displacement is
so net displacement will be
so displacement is 12.04 km