# DC Pandey Motion in One Dimension Solutions

DC Pandey Mechanics Part 1 Solutions for Chapter 3 ‘Motion In One Dimension’ cover all the important topics regarding motion. This includes acceleration, velocity, average speed, uniformly accelerated motion, instantaneous speed, distance and displacement. Once you engage with this chapter of DC Pandey Solutions, you will be able to solve problems which revolve around the collision of particles, graphical representation, relative motion and riverboat problems.

The chapter contains a total of 4 exercises and two separate sections for AIEEE (known as JEE Mains now) and JEE exams. The questions included in these sections have been picked after thorough research of the previous year’s exam papers and probable questions for the upcoming exams. These questions make use of concepts like vectors, velocity difference, linear function and uniformly accelerated motion.

Instasolv’s DC Pandey Mechanics Part 1 Motion In One Dimension Solutions have been formulated by subject experts who have ensured that all your confusions are solved at a single platform and you don’t have to struggle to find answers. We believe in a fruitful and impactful study curriculum and work towards reducing the exam pressure and enhancing the process to understand the tough concepts of Mechanics easily.

**Important topics for DC Pandey Mechanics Part 1 Solutions Chapter 3: Motion In One Dimension **

**Mechanics and Kinematics **

In this chapter of Motion In One Dimension, you will be introduced to the basics of mechanics and kinematics. The branch of physics which revolves around the motion of particles in space and time is termed as mechanics. And the branch of science which deals with the motion without paying emphasis to the cause that produces the motion is termed as Kinematics.

**Distance and Displacement**

DC Pandey Mechanics Part 1 Motion in One Dimension chapter will discuss the difference between distance and displacement and their impact on the vector values that are further used for quantities like speed and velocity.

Distance is defined as the original length of the path that is covered by a particle in motion within a particular time interval.

Displacement, on the other hand, is the change in position vector (the vector joining the initial and final positions).

For a particle covering a particular path, the final value for distance and displacement will vary accordingly. This contrast will be applicable to the numerical problems that you will encounter in the chapter exercises.

**Average Speed and Velocity **

You will learn about the contrast between average speed and average velocity in this chapter. The average speed of a particle in a particular time interval is defined as the ratio of the distance travelled and the time taken to travel that distance. Average velocity is defined as the ratio of the displacement of the body and the time taken for that displacement to occur.

**Graphical representation **

Graphs are a very essential part of this chapter. You will learn about the v-t graph, the s-t graph and their important points. The representation of lines and curves drawn with respect to the mentioned axis will help you in determining their actual values.

For instance, when the line of graph will be a straight constant line in a v-t graph, it will represent that the velocity here is constant and therefore uniform motion is occurring. There are similar graphs for uniformly accelerated motion, uniformly retarded motion and motion in a different direction.

**Derivations and Problems**

Along with the discussed concepts, you will also come across derivations of the laws of motion. These derivations will be obtained via differentiation and have been explained with examples in the theory portion of the chapter. You will also learn about rain problems, riverboat problems and aircraft wind problems. All of these are numerical which work on specific logical and fundamental solution procedures.

### Exercise-wise Discussions of DC Pandey Mechanics Part 1 Chapter 3 : Motion In One Dimension

**Introductory Exercise 3.1 **

- This exercise comprises 6 questions in total that are based on the introductory concepts from the chapter.
- These include simple formula based numerical which revolve around the concept of constant velocity, constant speed, time period, average speed and acceleration.

**Introductory Exercise 3.2 **

- This exercise contains a total of 13 questions that include analytical questions, formula-based numerical and reasoning questions.
- The exercise deals with the concepts of the time interval, motion in the vertical direction, velocity along a straight line and movement of particles along the x and y-axis.

**Introductory Exercise 3.3 **

- This exercise has 4 questions that deal with graphs and representation of quantities like velocity, mass and height on the graph.
- You will also deal with the concept of the collision of particles in this exercise.

**Introductory Exercise 3.4 **

**This exercise has 4 numerical-based problems and revolves around the fundamentals of relative acceleration, simultaneous movement, the direction of motion and time**

**AIEEE Corner (now JEE Main)**

**These include 42 Subjective Questions including reasoning, theory-based questions, formula-based numerical and graphs. Topics included are uniform acceleration, non-uniform acceleration. graphs, and relative motion.**- It also contains 38 Objective Questions in total which are single correct option questions. These questions revolve around speed, height, upward motion, vertical motion, acceleration and phenomenon of collision.

**JEE Corner **

**This exercise begins with 12 Assertion and Reason questions. Here you are required to provide justifications to the given statements with the help of concepts learnt from the chapter.**- These include displacement graph questions, velocity and acceleration questions and problems revolving around average speed and direction of a force.
- Then, there are 47 objective questions. These include the single correct option, more than one correct option and match the following questions. Some of the topics included in these exercises are velocity vectors, graph representations and curve determination problems.
- Then, there are 24 higher-order subjective questions.

### Why Use DC Pandey Mechanics Solutions Part 1 Chapter 3 : Motion In One Dimension by Instasolv?

**We make sure that all the solutions are formulated in a student-friendly language with detailed explanation.**- Our solutions for DC Pandey Mechanics Part 1 Motion In One Dimension will help you in revising and preparing for your exams at one go.
- We make sure that you are well versed with the concepts to face any type of question which can be framed from the chapter.
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