Regarding the "traveling at the same speed" idea. When in an aircraft, two people can toss a ball to each other. From the POV of those Inside, the ball is moving at normal ball tossing speed. From the POV of those outside, the ball is being gently tossed to over 500kph and the catcher catchers it without problem. If this is the "everything on the planet moving at the same speed" idea in action. Which does make it possible to travel in either direction.
If we stand on the sands of the sea-shore and watch a ship approach us, we shall find that she will apparently "rise" - to the extent, of her own height, nothing more. If we stand upon an eminence, the same law operates still; and it is but the law of perspective, which causes objects, as they approach us, to appear to increase in size until we see them, close to us, the size they are in fact. That there is no other "rise" than the one spoken of is plain from the fact that, no matter how high we ascend above the level of the sea, the horizon rises on and still on as we rise, so that it is always on a level with the eye, though it be two-hundred miles away, as seen by Mr. J. Glaisher, of England, from Mr. Coxwell's balloon. So that a ship five miles away may be imagined to be "coming up" the imaginary downward curve of the Earth's surface, but if we merely ascend a hill such as Federal Hill, Baltimore, we may see twenty-!five miles away, on a level with the eye - that is, twenty miles level distance beyond the ship that we vainly imagined to be " rounding the curve," and "coming up!" This is a plain proof that the Earth is not a globe.
For most media and angles of incidence, the light transmits from one medium to the other. However, when passing from a medium of higher index of refraction into a medium of lower index of refraction at a sufficiently high angle of incidence, there may not be a real value for the angle of refraction. When this happens, the light cannot pass into the second medium. Instead, the light is reflected off the interface and back into the first medium. We call this phenomenon total internal reflection. Many devices make use of total internal reflection. Total internal reflection allows a prism with two 45-degree angles and one 90-degree angle to reflect light at a right angle. One could use a mirror mounted at a 45-degree angle to do the same thing, but total internal reflection is nearly 100% efficient, while the best mirrors are perhaps 85% efficient. Many optical devices, such as binoculars and periscopes, make use of this. Fiber optics are thin wires of glass. Being so thin, fiber optics are flexible and as easy to handle as any metal wire. Glass has a relatively high index of refraction, so light shining down a fiber optic is totally reflected internally by the walls of the fiber optic, if the fiber optic is not bent too sharply. We use fiber optics every day with telephone, cable TV, and internet connections.

193) No child or un-indoctrinated man in their right-mind would ever conclude or even conceive given to their own devices, based on their own personal observations, that the Earth was a spinning ball revolving around the Sun! Such imaginative theories nowhere present in anyone’s daily experience require and have required massive amounts of constant propaganda to uphold the illusion.
108) The mariner’s compass is an impossible and non-sensical instrument for use on a ball-Earth. It simultaneously points North and South over a flat surface, yet claims to be pin-pointing two constantly moving geomagnetic poles at opposite ends of a spinning sphere originating from a hypothetical molten metal core. If compass needles were actually drawn to the North pole of a globe, the opposing “South” needle would actually be pointing up and off into outer-space.
If the Earth were a globe, it would, unquestionably, have the same general characteristics - no matter its size - as a small globe that may be stood upon the table. As the small globe has top, bottom, and sides, so must also the large one - no matter how large it be. But, as the Earth, which is "supposed" to be a large globe, bas no sides or bottom as the small globe has, the conclusion is irresistible that it is a proof that the Earth is not a globe.

The Flat Earth, God’s true creation, is a beautiful, peaceful Truth, making you very valuable and the center of God’s Creation. The first chapter of Genesis clearly describes a flat, Stationary earth, set on pillars on the deep waters, with a glass dome (Firmament) above, and with the sun and moon inside the dome. The Ball Earth is a Satanic lie. It doesn’t exist, except on screens, in textbooks, and in people’s programmed minds.
185) We are told that the Earth and atmosphere spin together at such a perfect uniform velocity that no one in history has ever seen, heard, felt or measured the supposed 1000mph movement. This is then often compared to traveling in a car at uniform velocity, where we only feel the movement during acceleration or deceleration. In reality, however, even with eyes closed, windows up, over smooth tar in a luxury car at a mere uniform 50mph, the movement absolutely can be felt! At 20 times this speed, Earth’s imaginary 1000mph spin would most certainly be noticeable, felt, seen and heard by all.
Newtonian philosophers teach us that the Moon goes round: the Earth from west to east. But observation - man's most certain mode of gaining knowledge - shows us that the Moon never ceases to move in the opposite direction - from east to west. Since, then, we know that nothing can possibly move in two, opposite directions at the same time, it is a proof that the thing is a big blunder; and, in short, it is a proof that the Earth is not a globe.
The Rev. D. Olmsted, in describing a diagram whish is supposed to represent the Earth as a globe, with a figure of a man sticking out at each side and one hanging head downwards, says "We should dwell on this point until it appears to us as truly up," In the direction given to these figures as it does with regard to a figure which he has placed on the top! Now, a system of philosophy which requires us to do something which is, really, the going out of our minds, by dwelling on an absurdity until we think it is a fact, Cannot be a system based on God's truth, which never requires anything of the kind. Since, then, the popular theoretical astronomy of the day requires this, it is evident that it is the wrong thing, and that this conclusion furnishes us with a proof that the Earth is not a globe. 

It is often said that the predictions of eclipses prove astronomers to be right in their theories. But it is not seen that this proves too much. It is well known that Ptolemy predicted eclipses for six-hundred years, on the basis of a plane Earth, with as much accuracy as they are predicted by modern observers. If, then, the predictions prove the truth of the particular theories current at the time, they just as well prove one side of the question as the other, and enable us to lay claim to a proof that the Earth is not a globe.

9 And God said, Let the waters under the heaven be gathered together unto one place, and let the dry land appear: and it was so. 10 And God called the dry land Earth; and the gathering together of the waters called he Seas: and God saw that it was good. 11 And God said, Let the earth bring forth grass, the herb yielding seed, and the fruit tree yielding fruit after his kind, whose seed is in itself, upon the earth: and it was so. 12 And the earth brought forth grass, and herb yielding seed after his kind, and the tree yielding fruit, whose seed was in itself, after his kind: and God saw that it was good. 13 And the evening and the morning were the third day.
114) Quoting, “On the False Wisdom of the Philosophers” by Lacantius, “A sphere where people on the other side live with their feet above their heads, where rain, snow and hail fall upwards, where trees and crops grow upside-down and the sky is lower than the ground? The ancient wonder of the hanging gardens of Babylon dwindle into nothing in comparison to the fields, seas, towns and mountains that pagan philosophers believe to be hanging from the earth without support!”
98) NASA and modern astronomy say Polaris, the North Pole star, is somewhere between 323-434 light years, or about 2 quadrillion miles, away from us! Firstly, note that is between 1,938,000,000,000,000 - 2,604,000,000,000,000 miles making a difference of 666,000,000,000,000 (over six hundred trillion) miles! If modern astronomy cannot even agree on the distance to stars within hundreds of trillions of miles, perhaps their “science” is flawed and their theory needs re-examining. However, even granting them their obscurely distant stars, it is impossible for heliocentrists to explain how Polaris manages to always remain perfectly aligned straight above the North Pole throughout Earth’s various alleged tilting, wobbling, rotating and revolving motions.
145) Heliocentrists believe the Moon is a ball, even though its appearance is clearly that of a flat luminous disc. We only ever see the same one face (albeit at various inclinations) of the Moon, yet it is claimed that there is another “dark side of the Moon” which remains hidden. NASA states the Moon spins opposite the spin of the Earth in such a perfectly synchronized way that the motions cancel each other out so we will conveniently never be able to observe the supposed dark-side of the Moon outside of their terrible fake CGI images. The fact of the matter is, however, if the Moon were a sphere, observers in Antarctica would see a different face from those at the equator, yet they do not – just the same flat face rotated at various degrees.
As the mariners' compass points north and south at one time, and as the North, to which it is attracted is that part of the Earth situated where the North Star is in the zenith, it follows that there is no south "point" or "pole" but that, while the centre is North, a vast circumference must be South in its whole extent. This is a proof that the Earth is not a globe.
25.) The surveyor's plans in relation to the laying of the first Atlantic Telegraph cable, show that in 1665 miles – from Valentia, Ireland, to St . John's, Newfoundland – the surface of the Atlantic Ocean is a LEVEL surface – not the astronomers' "level," either! The authoritative drawings, published at the time, are a standing evidence of the fact, and form a practical proof that Earth is not a globe.