Answer:
Part a)

Part b)

Part C)


Part d)
In horizontal direction velocity will remain constant

in vertical direction we have

Explanation:
Part a)
Horizontal speed of the cannon

angle of projection

now we have
horizontal speed = 
vertical speed = 
now the time taken by it to cover the distance 100 m from the wall



Part b)
Since it hits the ground in the same time
so the height of the castle is given as



Part C)
At highest point of the projection
the vertical component of the velocity will become zero
so we will have


Part d)
In horizontal direction velocity will remain constant
so we have

in vertical direction we have



Part e)
Answer:
1) T = 4.5 s
2) T = 4.5 s
3) v = 9.9 m/s
Explanation:
We can use the equation
T = 2π√(L/g)
1) T = 2π√(5m/9.81 m/s²) = 4.5 s
2) T = 2π√(L/g)
T = 2π√(5m/9.81 m/s²) = 4.5 s
3) v = √(2gR)
v = √(2(9.81 m/s²)(5m))
v = 9.9 m/s
Answer:
Prob. D
Explanation:
I am also a Visual Learner.
Answer:
The correct option is b) In galaxy clusters
Explanation:
A type of galaxy that appear elliptical in shape and have an almost featureless and smooth image is known as the elliptical galaxy.
An elliptical galaxy is three dimensional and consists of more than one hundred trillion stars which are present in random orbits around the centre.
Elliptical galaxy is generally found in the galaxy clusters.