Question

Motion in a plane is also known as-
A. One dimensional motion
B. Two dimensional motion
C. Three dimensional motion
D. None of the above

Answer 1

Hint: Since a plane is made up of two dimensions, when we discuss motion in a plane, we are speaking of motion in two dimensions. As a result, we are generally considering the X-axis and the Y-axis.

Complete step by step solution:
Motion in a plane: It is possible to think of motion in a plane as two distinct one-dimensional motions with constant acceleration and two perpendicular directions. A vector that is supplied in two dimensions will have two components. As an illustration, assume that an item travelling on a two-dimensional plane has a velocity of ${{v}_{0}}$ at time (t) = 0 and v at time t.

The equations for motion in a plane would be as follows:
${{v}_{x}}={{u}_{x}}+{{a}_{x}}t$
$\Rightarrow {{S}_{x}}={{u}_{x}}+\dfrac{1}{2}{{a}_{x}}{{t}^{2}}$
$\Rightarrow v_{x}^{2}=u_{x}^{2}+2{{a}_{x}}s$
The acceleration is given by:
$a=\dfrac{v-{{v}_{0}}}{t}$
In terms of x components is given by:
$\Rightarrow {{v}_{x}}={{v}_{0x}}-{{a}_{x}}t$

Projectile Motion: A body that has been launched with some initial velocity in any direction and is subsequently permitted to move solely as a result of gravity is referred to as a projectile. A trajectory is the name given to the path taken by the bullet. Examples include a football that a player kicks, a stone hurled from a building's roof, and a bomb dropped from a plane.

The projectile is propelled by two velocities:
- a constant, homogeneous velocity in the horizontal direction (if there is no air resistance)
- a consistently varying vertical velocity brought on by gravity.
Therefore, we can say that motion in a plane is also known as two- dimensional motion.

Hence, option B is the correct answer.

Note:When a projectile is shot from the ground, it travels a horizontal distance that is equal to half of the range before reaching its maximum height. At the highest point of the trajectory, the projectile has net velocity in the horizontal direction since its velocity is minimal but not zero and equal to u cosθ (vertical component is zero). Since there is no acceleration in the horizontal direction, the horizontal component of velocity also stays constant at zero.