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)
This is called "projectile motion". The projectile can be a baseball,
a bullet, a golf ball, or a rock that somebody tossed. In this story,
the swimmer is the projectile.
In projectile motion, the projectile is moving part horizontally and part
vertically at the same time. The thing to remember about this kind of
motion is: The horizontal motion doesn't change, but the vertical motion
changes because of gravity ... just like an apple that fell from a tree.
The swimmer runs straight horizontally off the diving board. His horizontal speed is 3.62 m/s. He hits the water 1.68 m from the end of the board. How long did it take him to go that far ?
Time = (distance) / (speed)
= (1.68 m) / (3.62 m/s)
= (1.68 / 3.62) seconds
= 0.464 second .
(a).
How high above the water was the diving board ?
Well, the swimmer was falling for 0.464 second .
The height is whatever it takes 0.464 second to fall.
Height = (1/2) x (acceleration of gravity) x (time)²
= (1/2) x (9.8 m/s²) x (0.464 sec)²
= (4.9 m/s²) x (0.2153 sec²)
= (4.9 x 0.2153) meters
= 1.055 meters .
(b).
If the swimmer runs off the board slower, his horizontal speed is
lower. That only affects how far out in front of the board he'll be
when he hits the water. But his horizontal speed has no effect
on how long it takes him to fall to the water. That's his vertical
speed, and it only depends on gravity.
No matter how fast or slow he runs off the board, or if he just
stands there at the end and leans over until he falls, it takes him
the same time to reach the water in every case.
It behaves more like a metal
Explanation:
When an element tends to lose its valence electrons in chemical reactions, they behave more like a metal.
Metals are electropositive.
Electropositivity or metallicity is the a measure of the tendency of atoms of an element to lose electrons.
This is closely related to ionization energy and the electronegativity of the element.
- The lower the ionization energy of an element, the more electropositive or metallic the element is .
Metals are usually large size and prefers to be in reactions where they can easily lose their valence electrons.
When most metals lose their valence electrons, they attain stability.
Non-metals are electronegative. They prefer to gain electrons.
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