Acannon is fired from a castle wall at some unknown height above the ground. the cannonball leaves the cannon with speed 30.0m/s at angle 30° above the horizontal and hits the level ground at a horizontal distance 100m from the wall.
a) calculate the time it takes the cannon ball to hit the ground.
b) calculate the height of the castle wall.
c) what are the x- and y-components of the cannon ball’s velocity at the highest point of its trajectory?
d) what are the x- and y-components of the cannon ball’s velocity just before it hits the ground?
e) sketch, qualitatively, x-t, y-t, vx-t and vy-t graphs for the cannon ball’s motion.

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)

quantum mechanics or quantum physics is physics of very small objects (particles) and physical entities.

quantum physics has some parallels to our macro world and some pretty unique ideas which theoretically and mathematically proven to be true even though we will never be able to access them because of our size.

there are many types of particles: subatomic, elementary etc.

subatomic means they are smaller than atom, elementary means they are at the very basis of everything.

subatomic particles are for eg. protons, neutrons but not electrons.

elementary particles are categorised into 3 groups by what they do.

these 3 groups are quarks, leptons and bosons.

light for example is a particle more precisely a photon a part of leptons.

proton (subatomic particle) is made out of 2 up quarks and 1 down quark each of these has a fractional charge like . (i crazy)

most famous scientist who contributed to this physics are:

the topic itself us understand a lot and will probably be vastly used in the future (quantum computers, understanding the big bang,

we also must not forget quantum effects like:

and there is more. but probably too much for this answer to be consistent due to my average understanding of this topic.

hope this you understand quantum mechanics a little more. i'm not an expert in the topic (so don't be like wth if you are an expert) but i'm very interested in it.

anyways quantum physics is a very hard topic (harder than physics (perhaps)) therefore searching for every information there is about it and learning it is unfortunately impossible (you can only specialise into 1 - 3 things or more (perhaps

have fun and i wish you luck!

r3t40

the answer for apex is the lowest