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Kinematics – Hub of related Posts

Here goes the list of our posts on Kinematics and related topics and subtopics.

Numerical problem based on parachutist & Terminal Velocity

Question: The force of air resistance F acting on a parachute is given by the equation F = 83 + 14.6v2where v is the velocity in m/s and F is ...

Displacement from a velocity-time graph – how to find out?

We can find the displacement of a moving object from its velocity-time graph. This is given by the area under this graph: displacement = area under velocity-time graph Finding displacement ...

Speed and velocity numerical for class 9

This tutorial on Speed and velocity numerical is for class 9 physics students of CBSE and ICSE boards. This also covers AS Physics Kinematics (motion). Equations for velocity There are ...

Velocity from a Displacement-Time Graph – how to derive?

Velocity is the ratio of the displacement and the time duration. Hence, velocity can be obtained from the gradient of a displacement-time graph. Velocity = gradient of displacement-time graph Drawing ...

3 different types of vertical projectile motion

3 different types of vertical projectile motion are:1) Vertical downward projection from a starting point above the ground - - In this case, the object can be dropped (Initial velocity ...

[PDF] 25 Motion Numerical Problems for Class 9

For students in Class 9, motion numerical problems are a crucial part of their curriculum. In this article, we will delve into 25 motion numerical problems for Class 9 students ...

Centripetal Force Calculator

Here, on this page, you can use a web-based Centripetal Force Calculator based on the centripetal force formula. Centripetal Force Calculator Mass (kg): Velocity (m/s): Radius (m): Centripetal Force (N): ...

Average Velocity Calculator (using Initial and Final Velocity)

Here, on this page, you can use a web-based Average Velocity Calculator based on initial and final velocities. We have another Average Velocity calculator based on displacement. Average Velocity Calculator ...

Average Velocity Calculator – using Displacement

Here, on this page, you can use a web-based Average Velocity Calculator. This calculator uses displacement as one of its parameters. Average Velocity Calculator (Displacement based) Displacement (m): Total Time ...

Average Acceleration Calculator

Here, on this page, you can use a web-based Average Acceleration Calculator. Average Acceleration Calculator Initial Velocity (m/s): Final Velocity (m/s): Time Duration (s): Average Acceleration (m/s²): Calculate Let's see ...

Uniform Motion | Uniform Linear Motion

Uniform motion or Uniform Linear Motion means motion with a constant or uniform velocity (constant magnitude and constant direction). As a one-dimensional example of this, the car in Figure 1 ...

Numericals on distance and displacement class 9

In this post, let's solve a set of Numericals on distance and displacement for class 9. Concepts Used | Formulas Used Distance The distance is the length of the actual ...

Acceleration Numericals Class 9

In this post, we will solve a set of numerical problems based on the acceleration formula and related concepts (for class 9 students). Formulas Used 1) Acceleration = change in ...

Derive the relation between Angular Velocity and Linear Velocity

In this post, we will derive the Relationship between angular velocity and linear velocity. During the circular motion, an object experiences angular displacement as well as linear displacement, therefore it ...

Derive the relation between Linear displacement and Angular displacement

We will derive the Relationship between linear displacement and angular displacement. Relationship formula (to be derived) The relationship is actually this: Linear Displacement = Angular Displacement x Radius of the ...

Examples of Inertia

In this post, we will list a set of examples of Inertia (in fact, for all 3 types of inertia) for class 9 students. Examples of Inertia An athlete runs ...

You throw an object straight up such that it leaves your hand with a speed of 9.7 m s−1. how long after you let it go does the ball reach its maximum height?

Question: You throw an object straight up such that it leaves your hand with a speed of 9.7 m s−1. how long after you let it go does the ball ...

Approximately how fast must you toss a ball straight up in order for it to take 2 seconds to return to the level from which you tossed it?

Numerical question: Approximately how fast must you toss a ball straight up in order for it to take 2 seconds to return to the level from which you tossed it? ...

Velocity and acceleration of a ball thrown upwards

When a ball is thrown vertically upward, it first goes through an upward motion, reaches the maximum height, and then comes vertically downwards. For this entire route, if we ignore ...

An object is thrown vertically upward and returns after 10 seconds. Find the initial velocity and its maximum height.

Question: An object is thrown vertically upward and returns after 10 seconds. Find the initial velocity and its maximum height. Solution: Total time of upward and downward motion = Ttot ...

A ball thrown vertically upward from a roof 60 m above the ground. The ball rises, then falls to the ground. The initial velocity of the ball is 23.4 m/s. At t=2.39 s, what is the velocity of the ball?

Question: A ball thrown vertically upward from a roof 60 m above the ground. The ball rises, then falls to the ground. The initial velocity of the ball is 23.4 ...

What is the acceleration of the ball at its maximum height?

Question: What is the acceleration of the ball at its maximum height? [When a ball is thrown vertically upward] Answer: Acceleration working on the ball at this point of maximum ...

A ball thrown vertically upward reaches a certain height and comes down again. What can you say about its kinetic energy at the maximum height?

Question: a ball thrown vertically upward reaches a certain height and comes down again. What can you say about its kinetic energy at the maximum height? Answer: Kinetic energy at ...

A ball is thrown vertically upward its velocity at the highest point is

A ball is thrown vertically upward its velocity at the highest point is zero. When a ball is thrown vertically upward, gravity (gravitational force of Earth) constantly pulls it downward, ...

How to find the maximum height of a ball thrown up?

Let's see how to find the maximum height of a ball thrown up. First, you will get the formula you need to use, and then see how to use the ...

Prove that projectile motion is parabolic class 11

Here we will Prove that projectile motion is parabolic (class 11). To do this we need to derive the Projectile Motion Path Equation (or Projectile trajectory equation) first. Projectile motion ...

Time of flight equation for projectile

The equation of the total time of flight for a projectile is Ttot = 2(V0sinθ )/g Time of flight equation - derivation To derive the time of flight equation of a projectile we ...

What is Projectile Motion?

A projectile is an object in flight after being projected or thrown and this motion is called Projectile Motion. For example, the motions of a cricket ball, or baseball. In ...

Maximum height of Projectile formula

In this post, we will focus on the formula to find the maximum height traversed by a projectile. Maximum height of the Projectile formula  The equation to find the maximum ...

Projectile Motion Formula class 11

This post on Projectile Motion Formula for class 11 presents a set of formulas that describe a projectile motion that is parabolic in nature and helps to find out important ...

Equation of Trajectory of a Projectile

The equation of the trajectory of a projectile shows that this trajectory path represents a parabola. This means that a projectile follows a parabolic path. figure 1: Showing initial velocity ...

Range of Projectile formula

The range (Horizontal Range) of a projectile is defined as the horizontal distance between the point it touches the ground and the point of projection. Now, let's find the Range ...

Projectile Motion Equations

Here, in this post, you will get a list of projectile motion equations (class 11). This list includes the equation of projectile motion path, and other important equations like time ...

What is Free Fall Class 9

The falling of an object from a height towards the earth under the gravitational force of the earth (with no other forces acting on it) is called free fall. And ...

Inertia class 9

In this post, we will briefly cover the topic of inertia for class 9 students. We will define, classify, and present examples of each type of inertia. We will also ...

Non-uniform acceleration on a velocity-time graph

If the acceleration is changing, the gradient of the velocity-time graph will also be changing - so you won’t get a straight line. Increasing acceleration is shown by an increasing ...

The velocity-time graph & speed-time graph – comparison

Here, we will find the differences between the velocity-time graph & speed-time graph. As an example, we will compare the velocity-time and the speed-time graphs for a ball being thrown ...

How to determine Acceleration on displacement-time graphs

In this post, we will see how to determine the acceleration from a displacement-time graph. The gradient of a displacement-time graph shows velocity. Acceleration is the rate of change of ...

Displacement-Time Graphs

Displacement-time graphs show an object’s position relative to its starting point over a period of time. They’re useful because they can be used to describe an object’s motion as well ...

Linear and Angular motion – relationship equations

In this post, we will list down selected equations that can be described as the relationship We often need to relate the linear variables s, v, and a for a ...

The effect of air resistance on projectile motion

In this post, we will find the effect of air resistance on projectile motion. We have seen that in the absence of air resistance, the trajectory or path followed by ...

How to solve projectile motion problems using Conservation of energy

In some situations, the use of conservation of energy can be a much simpler method to solve projectile motion problems than using the kinematics equations. Solving projectile motion problems makes ...

Worksheet on distance-time graph & velocity-time graph – Q&A

This post presents a Q&A worksheet covering distance-time graph and velocity-time graph. Before you try to solve these, you may read our posts on the distance-time graph (d-t graph) and ...

Motion in 2 and 3 Dimensions – formula & numerical

We will discuss and list down the formulae of position, velocity, and acceleration related to the Motion in two and three Dimensions using unit vectors i, j, and k format ...

Horizontal projectiles – formulas with derivation

Horizontal projectiles are directed straight out as a horizontal projection. It undergoes downward acceleration under the influence of gravity and hence gets an increasing downward velocity. At the same time, ...

Vertical Projectiles vs. Horizontal Projectiles – a detailed comparison

In this post, we will make a comparison between Vertical projectiles and Horizontal projectiles. When an object is thrown or projected, into the air it's named a projectile. Essentially, such ...

Laws of Motion class 9 – statement, & concepts

Statement of three laws of Motion along with their concept building - that is the objective of this post. Statement of three laws of Motion Here we state the 3 ...

The differences between Uniform circular motion and projectile motion with diagrams

The acceleration in a uniform circular motion (Fig. 1) has some similarities to the acceleration in projectile motion (Fig. 2) without air resistance, but there are also some important differences ...

[pdf notes] Motion in one dimension Grade 10 Notes download (10th Grade) | class 11 physics notes on 1D Motion

This Motion in one dimension Notes [PDF download] is primarily for the grade 10 or 10th-grade syllabus of different international boards. This also covers the class 11 physics syllabus on ...

[pdf] Projectile motion class 11 notes | Projectile Motion Grade 12 Notes download (12th Grade physics 2D motion)

This Projectile Motion Notes [PDF download] is primarily for the grade 12 or 12th-grade syllabus of different international boards. This covers the class 11 physics syllabus on 2D motion as ...

Projectile Motion Formulas in a List

In the next section, we will list down the Projectile Motion Formulas or equations. (Projectile trajectory equation & other formulas like maximum height and horizontal range of the projectile, time ...

Acceleration, velocity, and displacement of projectile at different points of its trajectory

Acceleration, velocity, and displacement of the projectile at different points of its parabolic trajectory are what we are going to study here. Both horizontal and vertical components of these 3 ...

Acceleration

Any variation from moving at a constant speed in a straight line is described as acceleration.It is very important to realize that going faster, going slower, and/or changing direction are ...

How to use graph paper to draw motion graphs?

How to use graph paper to draw motion graphs? - Plotting motion graphs is important if we want to learn motion physics well. In this tutorial, we will find out ...

IGCSE Physics Definitions – Forces and Motion

IGCSE Physics Definitions from the Forces and Motion chapter are listed below. It contains definitions for vector, scalar, torque, CG, velocity, force, acceleration, and important laws like Newton's laws of ...

Derivation of the Equations of Motion | deriving ‘suvat equations’

Derivation of the Equations of Motion: To calculate quantities involving motion in a straight line at a constant acceleration we need four equations. These equations are often informally referred to ...

Motion graphs of vertical fall against air-drag | Motion graphs of falling objects when air resistance is present

Here we will discuss the motion graphs of vertically falling objects when air-drag or air-resistance is present. Certainly, it's not a free fall as during free-fall air drag is ignored ...

Motion graphs of falling objects during free-fall | Motion graphs for freely falling bodies

Here we will discuss the motion graphs of falling objects during free-fall. During free-fall, the only force that is considered to act on the vertically falling object is Gravity. That ...

Draw the Displacement-time graph of a ball thrown vertically upwards

The displacement-time graph for the motion of a ball thrown vertically upwards in the air is shown in figure 1. As the ball goes higher, its velocity decreases continuously (deceleration) ...

How uniform acceleration is different from nonuniform acceleration?

Let's see how uniform acceleration is different from non-uniform acceleration. Acceleration is defined as the rate of change of velocity. We call an acceleration uniform when the change of velocity ...

How is Uniform Circular Motion called a motion with acceleration?

Uniform Circular motion is an accelerated motion. In this quick post we will first discuss what uniform circular motion is and then will find how this motion is with acceleration ...

What is the difference between Circular motion and rotational motion – are they the same?

Rotational motion is a type of circular motion. In other words, all circular motions can't be called rotational motion, but all rotational motions are certainly circular motions. When an object ...

The difference between a distance-time graph and a displacement-time graph (for a ball thrown vertically upwards)

Here we will discuss and draw a distance-time graph and a displacement-time graph for a ball thrown vertically upwards. We know that Displacement is the distance in a given direction ...

Kinematics equations – quick reckoner of motion equations

Here we have listed down important equations (or formula sets) related to Kinematics. You will get kinematics equations on position, displacement, total displacement, average velocity, instantaneous velocity, average speed, instantaneous ...

Projectile Motion Numericals class 11 | word problem worksheet

Here we will solve selected Projectile Motion Numericals for class 11 and will also provide solution guidance. To get a good grasp on this chapter we need to solve some ...

Distance-Time graph of various types with examples

This post is to discuss the Distance-Time graph with a few examples. A distance-time graph is a graphical representation of "how something moves", pointing to the distance of the object ...

How does Parachute motion happen under gravity and air drag? Explain with time graph

Parachute motion under the influence of gravity and air drag (resistance) and the speed-time graph of this fall - This is the topic of this post. And we will cover ...

Difference between distance and displacement

Distance is the length that is actually traveled on a route while Displacement is the shortest distance (straight line distance) between the initial point and final point of the traveled ...

Multiple Choice Questions on Motion physics (MCQs on motion)

Motion in one dimension - Multiple Choice Questions (MCQ):In this post, we are presenting an awesome set of MCQs on Motion in one dimension. These multiple-choice questions will make you ...

Difference between average speed and average velocity

Speed and velocity both indicate how fast a body is traveling, but there is an important difference between these quantities. The average speed, v, of a body, is given by ...

Why Do Different Masses (and Weights) Fall at the Same Rate?

Why Do Different Masses (and Weights) Fall at the Same Rate?A quick answer is: As the value of g is the same for all falling objects (regardless of their mass) ...

Instantaneous Acceleration – definition & formula with solved problem

The quantity that tells us the rate at which an object is changing its velocity at a specific instant in time anywhere along its path is the instantaneous acceleration.That means ...

Average Acceleration Formula 

In this post, we have taken the Average Acceleration Formula as our topic of discussion. We will see how to define and find it, and how to solve sample numerical ...

Physics Calculator for Projectile Motion equations – online

Why Online Physics Calculator for Projectile Motion? This post presents you with a set of Projectile motion online calculators to calculate parameters like maximum height, maximum horizontal range, time for ...

Instantaneous Velocity – definition & equation with solved problem

The quantity that tells us how fast an object is moving at a specific instant in time anywhere along its path is the instantaneous velocity, usually called velocity as well ...

Average velocity – definition, formula, numerical problem

How fast an object is moving can be expressed by the rate at which the position of the object changes with time. For each position xi, we assign a particular ...

Inertia – meaning and definition

In this post, we discuss the meaning and definition of inertia. Inertia is an important concept in the kinematics chapter of physics. Understanding it helps us to get an idea ...

Numerical problems on Vertical motion

In this post, we will solve a few 'harder' numerical problems on Vertical motion. Vertical motion under the influence of gravity is one of the most interesting chapters of mechanics ...

NCERT Solution of Laws of Motion problems – class 11 physics

NCERT solutions for class 11 physics chapter 5 laws of motion - This chapter covers selected problems from the chapter laws of motion. Here we are solving selected problems both ...

Velocity time graph – Comprehensive Guide

The velocity-time graph is defined as a graphical representation of the velocity of a body in motion with respect to time. Generally, velocity is assigned to the y-axis, and time ...

Projectile Motion Formula, Equations, Derivation for class 11

In this post, we will list down the projectile motion formula set & equations, do the derivation of the Projectile Motion Equations or formulas, and find out how the motion ...

Terminal Velocity, Free Fall, & Drag force

Here we will discuss in detail the terminal velocity and Terminal Velocity Equation. Before that, we will also cover a few important pointers on free fall and then discuss Air Drag ...

Angular Motion & Linear Motion Quantities – derivation of 3 relations

In this post, we will focus on the definitions of circular motion and linear motion first which will show their basic differences as well. In addition to this, we'll derive ...

What is the difference between Instantaneous Speed and Instantaneous Velocity?

What is the difference between instantaneous speed and instantaneous velocity? The instantaneous velocity is the ratio of displacement and the time duration provided the time duration is very small (Infinitesimal ...

Vertical motion when a ball is thrown vertically upward with derivation of equations

Upward movement and then a downward movement of a ball when a ball is thrown vertically upward - this is what we will discuss here and as well as we ...

Freefall in physics

In this post we will discuss different aspects of freefall physics. Here, we will find out (a) how to find the weight of a freely falling body (b) How the ...
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