Answer:
d₂=232.8 m
Explanation:
We know that formula for resolution given as
θres = 1.22 λ/d
Where
λ=wavelength
d=diameter
Given that resolution should be same.So we can say that
1.22 λ₁/d₁= 1.22 λ₂/d₂
λ₁/d₁= λ₂/d₂
Given that
λ₂=582 nm
λ₁=2 cm
d₁=8000 km
d₂=232.8 m
Answer:
13.02 m/s the velocity and 86.92 degrees the direction relative to ground
Explanation:
We need to add velocities in vector addition to find the resultant velocity "" of the balloon (the 13 m/s and the 0.7 m/s).
The velocities are at 90 degrees from each other (one pointing up and the other to the East). Notice from the attached image that the resultant velocity vector (picture in red) is actually the hypotenuse of a right angle triangle.
So we use Pythagoras to find the length (magnitude) of the resultant velocity vector:
we can round the answer to 13.02 m/s
Now we need to find the angle that this new vector makes with the ground by using the definition of tangent of an angle that relates the two quantities that we just added:
So we round it to 86.92 degrees
