Find the factual physics mistake in each paragraph and rewrite it correctly (it can be a word or phrase)

1. Quantities such as displacement and velocity are vectors that can sometimes be resolved into components. These components can be used to understand and predict the motion of objects hanging in the air. 2. For example, a long jumper's velocity while sprinting along the runway can be represented by a vertical vector. Once the jumper is airborne, the jumper's velocity at any instant can be described by the components of the velocity. 3. when a longjumper approaches hisjump, he runs along a curved line, which can be called the roams. When hejumps, his velocity has a vertical component. Movement in this plane can be depicted by using both the x- and y-axes. This way, thejumper's motion can be analyzed using the kinematic equations applied to one direction at a time. 4. We will focus on the form of two-dimensional motion called projectile motion. Objects that are moving or maneuvering in the air and are subject to gravity are called projectiles. Some examples of projectiles are softballs. return balls and arrows when they are projected through the air. Even a longjumper can be considered a projectile. 5. So, the definition of projectile motion is the curved path that an object follows when thrown, launched or otherwise moving near the surface of Earth. 6. The path of a projectile is a curve called a hyperbolo. Many people mistakenly believe that projectiles will eventually fall straight down in much the same way that a cartoon character does after running off a cliff. But if an object has an initial vertical velocity in any given time interval. there will be horizontal motion throughout the ight of the projectile. 3'. For simplicity, in school textbooks, the horizontal velocity of the projectile can be considered negligible. This velocity would not be constant it we accounted for air resistance. With air resistance, a projectile slows down as it is cooled by air particles. Thus, without air resistance, a soccer ball would travel along a hyperbola. With air resistance, a soccer ball with travel along a shorter path. 8. To understand the motion a projectile undergoes, let us consider two balls, red and yellow, dropped simultaneously, and the yellow ball having an initial horizontal velocity. It air resistance is disregarded, both ball hit the ground at the same time. By examining each ball's position in relation to the vertical lines and to one another, we see that the two balls fall at the same rate. This may seem impossible because one is given an initial horizontal velocity and the other begins from rest. But if the motion is analyzed one component at a time, it makes sense. 9. 0n the Earth's surface, the vertical acceleration will equal g [-9.18 mils?) because the only vertical component of acceleration is free fall acceleration. Note also that Mis positive