Motion is the change in position of an object with time.

Instantaneous velocity is the velocity of an object at a specific instant of time, defined as v = lim (∆x/∆t) as ∆t approaches 0.

Acceleration describes the rate of change of velocity with time, expressed as a = (v2 - v1)/(t2 - t1).

The SI unit of acceleration is meters per second squared (m/s²).

1. v = v0 + at 2. x = v0t + (1/2)at² 3. v² = v0² + 2ax

Average velocity is the total displacement divided by the total time taken.

Relative velocity of object A with respect to object B is given by vAB = vA - vB.

Instantaneous acceleration is the rate of change of velocity at a specific moment, defined as a = lim (∆v/∆t) as ∆t approaches 0.

The area under a velocity-time graph represents the displacement of the object.

Speed is a scalar quantity (magnitude only), while velocity is a vector quantity (magnitude and direction).

Positive acceleration indicates an increase in the velocity of an object.

Displacement x can be calculated using x = v0t + (1/2)at².

An example of constant acceleration is an object in free fall, where acceleration due to gravity (g) is approximately 9.81 m/s².

Zero acceleration implies that the velocity of an object remains constant over time.

In uniformly accelerated motion, distance covered increases quadratically with time, given constant acceleration.

Average acceleration is represented as the slope of the straight line connecting two points on a velocity-time graph.

A point object simplifies motion analysis by neglecting an object's size, focusing only on its position in motion.

Changing the direction of motion can result in acceleration even if the speed remains constant.

Calculating instantaneous velocity helps understand the object’s speed at a precise moment, critical for analyzing motion.

The average velocity can be found by taking the slope of the line connecting the initial and final positions on a position-time graph.