Linear motion is a motion in a straight line but velocity can travel in any direction
the equation for linear motion is
and velocity is the rate of change of positions
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Velocity is a vector quantity that describes the rate at which an object changes position. It includes both the speed of the object and its direction of motion. Linear motion, on the other hand, simply refers to the movement of an object along a straight path without considering its speed or direction.
Uniform linear motion occurs when an object moves in a straight line with constant speed. Uniform circular motion, on the other hand, occurs when an object moves in a circle at a constant speed, where the direction of motion is constantly changing.
The formula for linear acceleration is a (vf - vi) / t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time. This formula is used to calculate the rate of change of velocity in a straight line motion by finding the difference between the final and initial velocities and dividing by the time taken to change velocity.
Linear kinematics refers to the motion of an object along a straight line, where variables like position, velocity, and acceleration are in one dimension. Angular kinematics, on the other hand, deals with the motion of an object in a circular path, where variables like angular displacement, angular velocity, and angular acceleration are used to describe the motion in a rotational system.
The formula for calculating the linear velocity (v) of an object in circular motion is v r w, where v is the linear velocity, r is the radius, and w is the angular velocity.
In rotational motion, linear acceleration and angular acceleration are related. Linear acceleration is the rate of change of linear velocity, while angular acceleration is the rate of change of angular velocity. The relationship between the two is that linear acceleration and angular acceleration are directly proportional to each other, meaning that an increase in angular acceleration will result in a corresponding increase in linear acceleration.