Motion in a Plane: Motion in a plane refers to the movement of an object in two-dimensional space, where the object’s position can be described by two coordinates, usually referred to as x and y. The motion can be described by various parameters such as velocity, acceleration, displacement, and time.

In motion in a plane, the velocity of an object is a vector quantity that has both magnitude and direction. It can be represented graphically by an arrow with the length of the arrow representing the magnitude of the velocity and the direction of the arrow representing the direction of motion.

The acceleration of an object in a plane is also a vector quantity and is defined as the rate of change of velocity. It can also be represented graphically by an arrow, with the length of the arrow representing the magnitude of the acceleration and the direction of the arrow representing the direction of the acceleration.

In motion in a plane, the equations of motion can be used to describe the motion of an object in terms of its initial velocity, acceleration, and time. These equations can be used to solve problems related to motion in a plane, such as finding the distance traveled by an object, its final velocity, or its acceleration at a certain time.

Equations of Motion in a Plane

v_y = u_y + a_yt

s_y = u_yt + ¹/₂ a_yt²

v²_{y =} u²_y +2a_ys

Where,

• v_y = final velocity of the particle in y direction
• u_y = initial velocity of the particle in y direction
• s_y = displacement of the particle in y direction
• a_y = acceleration of the particle in y direction
• t = time interval in which the particle is in consideration

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By Team Learning Mantras