Kinematics Equations of Motion: Overview, Questions, Preparation

Motion 2021 ( Motion )

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Rajdeep Das

Rajdeep DasAssistant Manager- Content

Updated on Jun 28, 2021 12:19 IST
Table of Contents
  1. What are kinematics equations?
  2. Inverse kinematics
  3. Kinematics Equations
  4. The kinematic equation for uniformly accelerated equation
  5. Rotational Kinematics Equations
  6. Kinematics equation of motion for class 12
  7. Illustrated Examples
  8. FAQs on kinematics equations of motion

What are kinematics equations?

Kinematics is a branch of physics and is defined as the relationship between space and time. It ignores the cause of the motion caused by space and time. Kinematics equations are used to identify the unknown body's motions. Kinematic equations are linked with five variables which are listed below:

  1. Initial velocity denoted as V0
  2. Displacement referred to as Δx
  3. Time travel was written as t
  4. Final velocity as v
  5. Constant acceleration is written as a

If one of the two variables are given, kinematics equations can derive the others using limited variables. 

Inverse kinematics

The reverse of kinematics is called inverse kinematics. It is considered complicated compared to simple kinematics equations and might produce more than one solution.

Kinematics Equations

The kinematics equations can be segregated into four sections which are listed below:

 

  • V = v0 + at
  • Δ x = (v + v0 / 2) t
  • Δ x = v0 t + ½ at2

 

V2 = v2o + 2a Δx

The kinematic equation for uniformly accelerated equation

The diagrammatic equation of the kinematic equation which is uniformly accelerated is as below –

Rotational Kinematics Equations

Most equations deal with the linear or translational kinematics equations and It can be identified with the motion of the body. However, there is another option in the branch of physics, which is rotational kinematics equations. Rotational kinematics equations are somewhat similar to the equations discussed above. The only difference is the changes in the variables. The rotational kinematics equations variables are listed below – 

  1. Unlike in linear kinematic equations, angular is used here instead of acceleration. 
  2. Change in angle is used here, instead of displacement. 
  3. Initial and final angular velocity is used instead of initial and final velocities. 
  4. Time is constant as it was in linear kinematic equations.

Kinematics equation of motion for class 12

The chapter of the introduction of motion holds a weightage of 6 marks in total, as per the new pattern of 2021. It includes 3 questions, one objective type question of 1 mark, one very short question of 2 marks, and one short question of 3 marks. 

Illustrated Examples

Example 1: Illustrate The diagrammatic equation of the Kinematic equation which is uniformly accelerated. 

Answer: The diagrammatic equation of the kinematic equation which is uniformly accelerated is as below –

Image source – ncert 

Example 2: Illustrate the 5 variables in the Kinematics equation. 

Answer: Kinematic equations are linked with five kinematic variables which are listed below:

  1. Initial velocity denoted as V0
  2. Displacement referred to as Δx
  3. Time travel was written as t
  4. Final velocity as v
  5. Constant acceleration is written as a

Example 3: State the only constant parameter between linear kinematics and rotational kinematics. 

Answer: Time is constant in rotational kinematics as it was in the linear kinematic equation.

FAQs on kinematics equations of motion

1): How do you denote initial velocity in the Kinematics equation?

Answer :  Initial velocity denoted as V 0

2): How do you denote displacement in the Kinematics equation?

Answer: Displacement is referred to as Δx.

3): What do you understand from the Kinematics equation?

Answer: Kinematics is a branch of physics and is defined as the relationship between space and time. It ignores the cause of the motion caused by space and time. Kinematics equations are used to identify the unknown body's motions.

4): State inverse Kinematics’ equation.

Answer: The reverse of kinematics is called inverse kinematics. It is considered complicated compared to simple kinematics equations and might produce more than one solution to the problem.

5): What's the equation for the Kinematics equation?

Answer: Following is the derived equation for Kinematics equation –  V 2 = v 2 o + 2a Δx

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