The projectile motion of an object thrown from a certain height : Class 11 Physics - Future Study Point

The projectile motion of an object thrown from a certain height : Class 11 Physics

Class 11 physics ,projectile motion of an objject when thrown from a certain height

The projectile motion of an object thrown from a certain height : Class 11 Physics

The projectile motion of an object thrown from a certain height:If an object is thrown from a certain height by an angle θ with a velocity of u, the velocity u will have two components, horizontal ux and vertical uy  , here ux   remains the same because the acceleration along the x-axis is zero while the vertical component uy of velocity first decreases upto a certain height and then increases downwards achieves its maximum value nearest to the ground, the gravitational acceleration will always be negative because it has been applied on the vertical component of the velocity.

Class 11 physics ,projectile motion of an objject when thrown from a certain height

The projectile motion of an object thrown from a certain height :

The projectile motion of an object thrown from a certain height:Let an object is thrown from the top of a tower of the height h, the velocity of the object,u will have two component horizontal ux and vertical uy  the path of the object is of parabolic shape because the object is dragged vertically and horizontally by both component of velocity, the vertical component will become 0 when it achieves a maximum height of H.

class 11 physics projectile motion when an object thrown from certain height

The displacement covered by the object in reaching from A to C is = -h

The time taken by the object in the journey is = T

Since displacement is along the y-axis.so let us take y component of velocity

Acceleration = -g(since it acts on the vertical component of velocity)

The initial velocity of the object = usinθ

Applying the second equation of the motion

s = ut +( 1/2)at²

-h =usinθ.T + ( 1/2)(-g)T²

( 1/2)(g)T²- usinθ.T -h =0

gT²- 2usinθ.T -2h =0…….(i)

Solving this quadratic equation, we can get the time taken by the object from the top of the building to the ground.

The range of the object is actually the displacement of the object in the direction of the x-axis

The time taken from the equation (i) is = T

The initial velocity of the object in the direction of the x-axis is = ucosθ

Acceleration along the x-axis is =0

The displacement along the x-axis = R

Applying the second equation of the motion

s = ut +( 1/2)at²

R = ucosθ.T + ( 1/2)×0×t²

R = uTcosθ……(ii)

Therefore we can calculate the range and time is taken by the object to reach the ground when it is thrown by an angle θ from a certain height from the ground

The projectile motion of an object thrown from a certain height

The final velocity of the object just before hitting the ground: The x component of the velocity remains the same even when it reaches to the ground at point C , the velocity which is changing is the vertical component, which was initially usinθ finally would become vsinθ

The acceleration along y-axis = -g

Applying the first equation of motion

v = u + at

vcosθ = ucosθ – gT

v = (ucosθ -gT)/cosθ 

Finding the height of the tower when an object is thrown with a particular velocity of u downwards by an angle of θ from the horizon:

The height of the tower is =displacement in the direction of y axis =h

The initial velocity of the object is =-usinθ(- sign shows because the object is thrown in a downward direction)

The acceleration is = -g(since the displacement and gravitational acceleration are opposite to each other)

Displacement in the direction of x-axis is =R

Acceleration in the direction of x-axis is = 0

The initial velocity in the x direction is =ucosθ

Applying the second equation of the motion

s = ut +( 1/2)at²

R= ucosθ.T(since a =0)

T  = R/ucosθ.

Applying the second equation of the motion

s = ut +( 1/2)at²

h = usinθ.t -( 1/2)gT²

Projectile Motion:A particle moves along a curved path under constant acceleration when thrown obliquely near the surface of the earth. This curved path is always directed towards the centre of the Earth. The path of such a particle is called the trajectory of the projectile, and the motion is called the projectile motion

We hope you would have liked the post ‘The projectile motion of an object thrown from a certain height ‘this topic is taken from the class 11 NCERT physics textbook which is very important to understand for solving the numerical of physics in class 11 CBSE Board exams.

Circular Motion: Angular velocity and angular displacement

Projectile Motion Class 11 CBSE Physics Chapter 4 Motion in a Plane

Addition of Vectors: CBSE Class 11 Physics Chapter 4 -Motion in a Plane

Don’t forget to write a comment, subscribe us for the posts related to your study

Electronic Configuration of s,p and d orbitals

Atomic Radius Class 11 Chemistry Chapter 3 Periodicity in Properties

Why does a Rainbow look like a Bow?

NCERT Solutions of Science and Maths for Class 9,10,11 and 12

NCERT Solutions for class 9 maths

Chapter 1- Number SystemChapter 9-Areas of parallelogram and triangles
Chapter 2-PolynomialChapter 10-Circles
Chapter 3- Coordinate GeometryChapter 11-Construction
Chapter 4- Linear equations in two variablesChapter 12-Heron’s Formula
Chapter 5- Introduction to Euclid’s GeometryChapter 13-Surface Areas and Volumes
Chapter 6-Lines and AnglesChapter 14-Statistics
Chapter 7-TrianglesChapter 15-Probability
Chapter 8- Quadrilateral

NCERT Solutions for class 9 science 

Chapter 1-Matter in our surroundingsChapter 9- Force and laws of motion
Chapter 2-Is matter around us pure?Chapter 10- Gravitation
Chapter3- Atoms and MoleculesChapter 11- Work and Energy
Chapter 4-Structure of the AtomChapter 12- Sound
Chapter 5-Fundamental unit of lifeChapter 13-Why do we fall ill ?
Chapter 6- TissuesChapter 14- Natural Resources
Chapter 7- Diversity in living organismChapter 15-Improvement in food resources
Chapter 8- MotionLast years question papers & sample papers

NCERT Solutions for class 10 maths

Chapter 1-Real numberChapter 9-Some application of Trigonometry
Chapter 2-PolynomialChapter 10-Circles
Chapter 3-Linear equationsChapter 11- Construction
Chapter 4- Quadratic equationsChapter 12-Area related to circle
Chapter 5-Arithmetic ProgressionChapter 13-Surface areas and Volume
Chapter 6-TriangleChapter 14-Statistics
Chapter 7- Co-ordinate geometryChapter 15-Probability
Chapter 8-Trigonometry

Class 10 Maths Question Paper CBSE Half Yearly Exam 2022 With Solutions

CBSE Class 10-Question paper of maths 2021 with solutions

CBSE Class 10-Half yearly question paper of maths 2020 with solutions

CBSE Class 10 -Question paper of maths 2020 with solutions

CBSE Class 10-Question paper of maths 2019 with solutions

NCERT Solutions for Class 10 Science

Chapter 1- Chemical reactions and equationsChapter 9- Heredity and Evolution
Chapter 2- Acid, Base and SaltChapter 10- Light reflection and refraction
Chapter 3- Metals and Non-MetalsChapter 11- Human eye and colorful world
Chapter 4- Carbon and its CompoundsChapter 12- Electricity
Chapter 5-Periodic classification of elementsChapter 13-Magnetic effect of electric current
Chapter 6- Life ProcessChapter 14-Sources of Energy
Chapter 7-Control and CoordinationChapter 15-Environment
Chapter 8- How do organisms reproduce?Chapter 16-Management of Natural Resources

NCERT Solutions for class 11 maths

Chapter 1-SetsChapter 9-Sequences and Series
Chapter 2- Relations and functionsChapter 10- Straight Lines
Chapter 3- TrigonometryChapter 11-Conic Sections
Chapter 4-Principle of mathematical inductionChapter 12-Introduction to three Dimensional Geometry
Chapter 5-Complex numbersChapter 13- Limits and Derivatives
Chapter 6- Linear InequalitiesChapter 14-Mathematical Reasoning
Chapter 7- Permutations and CombinationsChapter 15- Statistics
Chapter 8- Binomial Theorem Chapter 16- Probability

CBSE Class 11-Question paper of maths 2015

CBSE Class 11 – Second unit test of maths 2021 with solutions

NCERT Solutions for Class 11 Physics

Chapter 1- Physical World

chapter 3-Motion in a Straight Line

NCERT Solutions for Class 11 Chemistry

Chapter 1-Some basic concepts of chemistry

Chapter 2- Structure of Atom

NCERT Solutions for Class 11 Biology

Chapter 1 -Living World

NCERT solutions for class 12 maths

Chapter 1-Relations and FunctionsChapter 9-Differential Equations
Chapter 2-Inverse Trigonometric FunctionsChapter 10-Vector Algebra
Chapter 3-MatricesChapter 11 – Three Dimensional Geometry
Chapter 4-DeterminantsChapter 12-Linear Programming
Chapter 5- Continuity and DifferentiabilityChapter 13-Probability
Chapter 6- Application of DerivationCBSE Class 12- Question paper of maths 2021 with solutions
Chapter 7- Integrals
Chapter 8-Application of Integrals

Class 12 Solutions of Maths Latest Sample Paper Published by CBSE for 2021-22 Term 2

Class 12 Maths Important Questions-Application of Integrals

Class 12 Maths Important questions on Chapter 7 Integral with Solutions for term 2 CBSE Board 2021-22

Solutions of Class 12 Maths Question Paper of Preboard -2 Exam Term-2 CBSE Board 2021-22

Solutions of class 12  maths question paper 2021 preboard exam CBSE Solution

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Scroll to Top