Projectile motion is typically considered two-dimensional because it involves motion in a horizontal (x-axis) and vertical (y-axis) plane, while neglecting any motion in the third dimension (z-axis). In most basic analyses, the effects of gravity act only in the vertical direction, allowing the trajectory to be simplified to a parabolic path on a 2D plane. While projectiles can indeed move in three dimensions, such as when considering wind or launch angles, the fundamental equations of motion are often derived and analyzed in a two-dimensional framework for simplicity in understanding and calculation.
Going round in circles!
motion of a simple pendulum
The trajectory of the motion is a straight line.
Simple harmonic motion (SHM) is in one dimension whereas oscillatory motion is 2-dimensional motion that is SHM in one dimension but linear in another.Simple harmonic motion (SHM) is in one dimension whereas oscillatory motion is 2-dimensional motion that is SHM in one dimension but linear in another.Simple harmonic motion (SHM) is in one dimension whereas oscillatory motion is 2-dimensional motion that is SHM in one dimension but linear in another.Simple harmonic motion (SHM) is in one dimension whereas oscillatory motion is 2-dimensional motion that is SHM in one dimension but linear in another.
Two-dimensional motion that is not always projectile motion would be circular motion, where an object moves in a circular path. Two-dimensional motion that is not projectile motion and does not accelerate the object could be uniform circular motion, where the speed is constant but the direction changes.
Gravity
Projectile motion is typically considered two-dimensional because it involves motion in a horizontal (x-axis) and vertical (y-axis) plane, while neglecting any motion in the third dimension (z-axis). In most basic analyses, the effects of gravity act only in the vertical direction, allowing the trajectory to be simplified to a parabolic path on a 2D plane. While projectiles can indeed move in three dimensions, such as when considering wind or launch angles, the fundamental equations of motion are often derived and analyzed in a two-dimensional framework for simplicity in understanding and calculation.
Gravity
The two components of projectile motion are horizontal motion, which is constant and unaffected by gravity, and vertical motion, which is affected by gravity and follows a parabolic path. Both components combine to determine the trajectory of the projectile.
Circular motion is a type of two-dimensional motion that is not always projectile motion. In circular motion, such as a car driving around a curve or a satellite orbiting a planet, the object is constantly changing its direction without necessarily being launched upwards. This motion can involve acceleration due to the changes in velocity direction.
Projective motion is any motion defined in two dimensions. For example, if we mathematically project the three-dimensional path of a flying airplane onto a flat plane, the result is projective motion. The three-dimensional path was projected (thus the term) onto the flat plane..
A motion along straight line is called rectilinear motion. In general, it need not be one - dimensional; it can take place in a two dimensional plane or in three dimensional space. But, it is always possible that rectilinear motion be treated as one dimensional motion, by suitably orienting axes of the coordinate system.
Going round in circles!
motion of a simple pendulum
In two-dimensional motion that is not projectile motion, the object may have acceleration even if it is not accelerating overall. This is because the object's velocity can change direction in two dimensions without necessarily changing its magnitude, leading to acceleration along curved paths. Projectile motion, on the other hand, involves acceleration only in the vertical direction due to gravity while the horizontal velocity remains constant.
The trajectory of the motion is a straight line.