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Projectile motion is when an object moves in a bilaterally symmetrical, parabolic path. The path that the object follows is called its trajectory. Projectile motion only occurs when there is one force applied at the beginning, after which the only influence on the trajectory is that of gravity.
A generic trajectory is shown in Figure \(\PageIndex{1}\), showing the force and acceleration vectors (constant throughout) and the velocity vector at various points along the path. Figure \(\PageIndex{1}\): A typical projectile trajectory.
Trajectory Formula. The trajectory is the curved path of the object in respect to its motion along with the gravity. Furthermore, we also refer to it as projectile motion. Besides, we are going to discuss trajectory, trajectory formula, its derivation, and solved examples.
Visualise projectile motion in an interesting way. Know about the time of flight formula, horizontal range, maximum height, the equation of trajectory along with examples.
Mar 12, 2024 · Identify and explain the properties of a projectile, such as acceleration due to gravity, range, and trajectory. Apply the principle of independence of motion to solve projectile motion problems.
Using the horizontal data, the equation to be used is: [latex]\vec{v} = \dfrac{\vec{d}}{t}[/latex] Therefore: [latex]34.9 \text{ m/s } = \dfrac{\text{horizontal displacement}}{4.12 \text{ s}}[/latex] [latex]\text{Leaving the horizontal displacement } = (34.9 \text{ m/s})(4.12 \text{ s})\text{ or } 144 \text{ m}[/latex]
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The applications of projectile motion in physics and engineering are numerous. Some examples include meteors as they enter Earth’s atmosphere, fireworks, and the motion of any ball in sports. Such objects are called projectiles and their path is called a trajectory.
