A stone thrown vertically upwards with initial velocity' u' reaches a height h before coming down . Show that the time taken to go up is same as the time taken to come back

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

Class 11 Exam > Class 11 Questions > A stone thrown vertically upwards with initia...

Join the Discussion on the App

A stone thrown vertically upwards with initial velocity' u' reaches a height h before coming down . Show that the time taken to go up is same as the time taken to come back

Join for Free

Join for Free

Verified Answer

A stone thrown vertically upwards with initial velocity' u' reaches a ...

Let us consider an object which is projected vertically upwards with initial velocity u which reaches a maximum height h.

Acceleration due to gravity=-g

Equation of Motion for a body projected thrown upwards :

V=u-gt----------(1)

h=ut-1/2gt^2 -----------(2)

v^2-u^2=-2gh --------(3)

Equations of motion for freely falling body :

for free fall :

Initial velocity=u=0

g=g

V=gt----------(4)

h=1/2gt^2-------(5)

v^2=2gh------(6)

Time of Ascent is the time taken by body thrown up to reach maximum height h

At maximum height , V=0

Equation (1) turns to u=gt1

t1=u/g ----------(7)

Maximm height h=u^2/2g ----------(8)

Time of descent : After reaching maximum height , the body begins to travel downward like free fall

so equation (5) h=1/2gt₂^2

t₂^2=2h/g

t₂=√2h/g

but from equation (9)

t₂=√2xu^2/2g^2

t₂=u/g -------equation (10)

∴t₁=t₂

The time ascent is equal to time of descent in case of bodies moving under gravity.

This question is part of UPSC exam. View all Class 11 courses

View all answers Start learning for free

Explore Courses for Class 11 exam

Similar Class 11 Doubts

A body thrown vertically upwards with an initial velocity u reaches maximum height in 6 seconds. The ratio of the distances travelled by the body in the first second and the seventh second is (1) 1:1 (2) 11:1 (3) 1:2 (4) 1:11. Please help me with the solution.as quick as possible.?

View answer

An object reaches a maximum height of 23.0m when thrown vertically upward on the earth how high would it travel on the moon where the acceleration due to gravity is one sixth that on the earth ? Assume that initial velocity is the same?

View answer

A body is thrown vertically upwards from top of a tower. It reaches the ground in t1 seconds if it is thrown vertically downwards from A with the same speed it reaches the ground in t2 seconds . If it is allowed to fall freely from A, the time it takes to reach the ground is??

View answer

Body thrown vertically upward with velocity of reaches maximum height hundred metres if another body twice its mass of the former is thrown up with the velocity twice the formeris thrown up find the maximum height reached?

View answer

A body thrown vertically upward with initial velocity 52 m/s from the ground passes twice a point at height h above at an interval of 10 s. The height h is (g = 10 m/s)-?

View answer

Top Courses for Class 11View all

CUET Mock Test: Humanities Subjects 2025

Psychology Practice Tests: CUET Preparation

Top Courses for Class 11

View all

A stone thrown vertically upwards with initial velocity' u' reaches a height h before coming down . Show that the time taken to go up is same as the time taken to come back

Share with a Friend

Answer this doubt

Question Description
A stone thrown vertically upwards with initial velocity' u' reaches a height h before coming down . Show that the time taken to go up is same as the time taken to come back for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A stone thrown vertically upwards with initial velocity' u' reaches a height h before coming down . Show that the time taken to go up is same as the time taken to come back covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A stone thrown vertically upwards with initial velocity' u' reaches a height h before coming down . Show that the time taken to go up is same as the time taken to come back.

Solutions for A stone thrown vertically upwards with initial velocity' u' reaches a height h before coming down . Show that the time taken to go up is same as the time taken to come back in English & in Hindi are available as part of our courses for Class 11. Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.

Here you can find the meaning of A stone thrown vertically upwards with initial velocity' u' reaches a height h before coming down . Show that the time taken to go up is same as the time taken to come back defined & explained in the simplest way possible. Besides giving the explanation of A stone thrown vertically upwards with initial velocity' u' reaches a height h before coming down . Show that the time taken to go up is same as the time taken to come back, a detailed solution for A stone thrown vertically upwards with initial velocity' u' reaches a height h before coming down . Show that the time taken to go up is same as the time taken to come back has been provided alongside types of A stone thrown vertically upwards with initial velocity' u' reaches a height h before coming down . Show that the time taken to go up is same as the time taken to come back theory, EduRev gives you an ample number of questions to practice A stone thrown vertically upwards with initial velocity' u' reaches a height h before coming down . Show that the time taken to go up is same as the time taken to come back tests, examples and also practice Class 11 tests.

Explore Courses for Class 11 exam