A particle is projected with certain vel...

A particle is projected with certain velocity at two different angles of projections with respect to horizontal plane so as to have the same range 'R' ona horizontal plane. If`'t_1'` and `'t_2'` are the times taken for the two paths, then which one of the following relations is correct?

`t_1t_2=2R/g`

`t_1t_2=R/g`

`t_1t_2=R/2g`

`t_1t_2=4R/g`

Text Solution

Verified by Experts

Topper's Solved these Questions

Motion in a Plane
SL ARORA|Exercise Example|111 Videos
MECHANICS
SL ARORA|Exercise Exercise|341 Videos
MOTION IN ONE DIMENSION
SL ARORA|Exercise problems for self practice|66 Videos

Similar Questions

Explore conceptually related problems

Two particles are projected with same velocity but at angles of projection 35 and 55 then their horizontal ranges are in the ratio of

Show that there are two angles of projection for which the horizontal range is the same.

" Two particles are projected with same velocity but at angles of projection 35^(@) and 55^(@) .Then their horizontal ranges are in the ratio

A body projected with the same velocity at two different angles covers the same horizontal distance R.If t and t' are the two times of flight, prove that R=1/2 gtt'

two particles are projected upwards with the same initial velocity v_(0) in two different angles of projection such that their horizontal ranges are the same. The ratio of the heights of their horizontal ranges are the same. The ratio of the heights of their highest point will be

Two particle are projected with same initial velocities at an angle 30^(@) and 60^(@) with the horizontal .Then

A body projected with the same velocity at two different angles covers the same horizontal distance R. If t and t' are two times of flight, prove that R=1/2 gtt .

A projectile can have the same range R for two angles of projection. If t_(1) and t_(2) be the times of flight in the two cases:-

A cannon ball has the same range R on a horizontal plane for two angles of projection. If h_(1) and h_(2) are the greatest heights in the two paths for which this is possible then:

SL ARORA-Motion in a Plane-Excercise

The speed of a projectile at its maximum height is half of its initial...
Text Solution
|
One projectile moving with velocity v in space gets burst into 2 parts...
Text Solution
|
A particle is projected with certain velocity at two different angles ...
Text Solution
|
If a projectile crosses two walls of equal height h symmetrically as s...
Text Solution
|
A body executing uniform circular motion has at any instant its veloci...
Text Solution
|
the circular motion of a particle with constant speed is
Text Solution
|
The angular speed of a fly-wheel making 120 revolutions /minute is :
Text Solution
|
r denotes the distance between the sun and the earth. Assume that the ...
Text Solution
|
Figure shows a body of mass m moving with a uniform speed v along a ci...
Text Solution
|
What is the value of linear velocity, if vecomega=3hati-4hatj+hatk and...
Text Solution
|
A particle moves in x-y plane according to ru le x=a sin omegat and y=...
Text Solution
|
If a body moves along circular path of constant radius, then the magni...
Text Solution
|
A particle moves with constant speed v along a circular path of radius...
Text Solution
|
A particle moves in a circle of radius 5 cm with constant speed and ti...
Text Solution
|
In hydrogen atom, the electron is moving round the nucleus with veloci...
Text Solution
|
If a cycle wheel of radius 4 m completes one revolution in two seconds...
Text Solution
|
A stone tied to the end of string 80 cm long is whirled in horizontal ...
Text Solution
|
A stone tied to the end of string 1m long is whirled in a horizontal c...
Text Solution
|
A car of mass m moves in a horizontal circular path of radius r meter....
Text Solution
|
An object moves at a constant speed along a circular path in a horizon...
Text Solution
|