Home
Class 11
PHYSICS
When a particle is undergoing motion, th...

When a particle is undergoing motion, the diplacement of the particle has a magnitude that is equal to or smaller than the total distance travelled by the particle. In many cases the displacement of the particle may actually be zero, while the distance travelled by it is non-zero. Both these quantities, however depend on the frame of reference in which motion of the particle is being observed. Consider a particle which is projected in the earth's gravitational field, close to its surface, with a speed of `100sqrt(2) m//s`, at an angle of `45^(@)` with the horizontal in the eastward direction. Ignore air resistance and assume that the acceleration due to gravity is `10 m//s^(2)`.
There exists a frame (D) in which the distance travelled by the particle is minimum. This minimum distance is equal to :-

A

The total distance travelled by the particle

B

The horizontal range of the particle

C

The maximum height risen by the particle

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
In ground frame [A] it is simply a projectile motion. But in [B] frame horizontal component of the displacement is zero i.e. in this frame only vertical comp. appear which is responsible for the maximum height.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • KINEMATICS

    ALLEN|Exercise Comprehension#7|3 Videos

  • KINEMATICS

    ALLEN|Exercise EXERCISE-04[A]|35 Videos

  • KINEMATICS

    ALLEN|Exercise Comprehension#5|6 Videos

  • ERROR AND MEASUREMENT

    ALLEN|Exercise Part-2(Exercise-2)(B)|22 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN|Exercise BEGINNER S BOX-7|8 Videos

Similar Questions

Explore conceptually related problems

When a particle is undergoing motion, the diplacement of the particle has a magnitude that is equal to or smaller than the total distance travelled by the particle. In many cases the displacement of the particle may actually be zero, while the distance travelled by it is non-zero. Both these quantities, however depend on the frame of reference in which motion of the particle is being observed. Consider a particle which is projected in the earth's gravitational field, close to its surface, with a speed of 100sqrt(2) m//s , at an angle of 45^(@) with the horizontal in the eastward direction. Ignore air resistance and assume that the acceleration due to gravity is 10 m//s^(2) . " A third observer (C) close to the surface of the reports that particle is initially travelling at a speed of 100sqrt(2) m//s making on angle of 45^(@) with the horizontal, but its horizontal motion is northward". The third observer is moving in :-

When a particle is undergoing motion, the diplacement of the particle has a magnitude that is equal to or smaller than the total distance travelled by the particle. In many cases the displacement of the particle may actually be zero, while the distance travelled by it is non-zero. Both these quantities, however depend on the frame of reference in which motion of the particle is being observed. Consider a particle which is projected in the earth's gravitational field, close to its surface, with a speed of 100sqrt(2) m//s , at an angle of 45^(@) with the horizontal in the eastward direction. Ignore air resistance and assume that the acceleration due to gravity is 10 m//s^(2) . Consider an observer in frame D (of the previous question), who observes a body of mass 10 kg acelerating in the upward direction at 30 m//s^(2) (w.r.t. himself). The net force acting on this body, as observed from the ground is :-

If the displacement of a particle is zero, then distance covered by it

If the displacement of a particle is zero, then distance covered by it

If distance coverd by a particle is zero , what can be its displacement ?

The distance travelled by a particle is proportional to the squares of time, then the particle travels with

Explain with the help of an example, if the displacement of a particle is zero, then it is not necessary that the distance traversed by it is also zero.

The motion of a particle is described by the equation at u = at .The distance travelled by the particle in the first 4 seconds

The displacement of a particle starts from rest is proportional to the square of time, then the particle travels with

A particle moves in a straight line and its speed depends on time as v=|2t-3| int vdt representsthe distance travelled of the particle then find the displacement of the particle in 5 s

Home
Profile