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A ball is projected in the vertical x-y plane from a train mov
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A ball is projected in the vertical plane from a train moving in the horizontal -direction with a constant positive acceleration. The trajectory of the ball as seen from frame of train cannot be (point of projection is origin).
Relative motion

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Updated on: Sep 5, 2022

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Physics for JEE Main and Advanced Mechanics 1 (McGraw Hill)

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A ball is projected in the vertical plane from a train moving in the horizontal -direction with a constant positive acceleration. The trajectory of the ball as seen from frame of train cannot be (point of projection is origin).
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Practice questions from Physics for JEE Main and Advanced Mechanics 1 (McGraw Hill)

Question 1
Medium
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An ant is crawling on a paper with a velocity 10 in the direction shown in the figure. Now, you begin to pull the paper with a velocity along -axis as shown in the figure. Co-ordinate system has the origin fixed to the ground as shown in the figure. The initial position of ant is . Select the correct alternative(s).

  1. Velocity of ant in ground frame is
  2. Position vector of ant with respect to ground after is
  3. In the ground frame, velocity vector of ant is at an angle
  4. In the ground frame, velocity vector of ant is at an angle .
Topic

Topic:

Motion in a Plane

Book

Book:

Physics for JEE Main and Advanced Mechanics 1 (McGraw Hill)

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Question 2
Easy
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In a Cartesian coordinate system , unit vectors along and axes are and . A new coordinate system is generated by rotating system by an angle of in the anticlockwise sense as shown in the figure.

(i) Unit vectors in system are and . Express and in terms of and .
(ii) A vector in system is expressed as . Express the vector in system using and .
Take


Topic

Topic:

Motion in a Plane

Book

Book:

Physics for JEE Main and Advanced Mechanics 1 (McGraw Hill)

View solution

Question 3
Medium
Views

Views: 6,290

A train carriage moves along the -axis with a uniform acceleration. An observer in the train sets a ball in motion on the frictionless floor of the carriage with a velocity relative to the carriage.
The direction makes an angle with the -axis. Let be an observer standing on the ground outside the train. The subsequent path of the ball will be-
  1. a straight line wrt observer ;
  2. a straight line wrt observer ;
  3. parabolic wrt observer ; or
  4. parabolic wrt observer .
Topic

Topic:

Motion in a Plane

Book

Book:

Physics for JEE Main and Advanced Mechanics 1 (McGraw Hill)

View solution

Question 4
Hard
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Views: 6,006

... A helicopter on a flood relief mission is flying horizontally at a constant velocity of . It drops a food packet at time . (i) Find the velocity of the food packet relative to the pilot, immediately after the release of the packet. (ii) Find the acceleration of the packet relative to the pilot. (iii) Find the velocity of the food packet relative to the pilot after the release.
Topic

Topic:

Motion in a Plane

Book

Book:

Physics for JEE Main and Advanced Mechanics 1 (McGraw Hill)

View solution

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Question 3
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A body is in equilibrium under the action of three coplanar forces P, Q and R as shown in the figure. Select the correct statement :

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Question 4
Medium
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Assertion: Two projectiles have maximum heights and respectively. The ratio of their horizontal components of velocities should be for their horizontal ranges to be same.
Reason : Horizontal range horizontal component of velocity time of flight.
  1. If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.
  2. If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
  3. If Assertion is true, but the Reason is false.
  4. If Assertion is false but the Reason is true.
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Motion in a Plane

Book

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Question Text
A ball is projected in the vertical plane from a train moving in the horizontal -direction with a constant positive acceleration. The trajectory of the ball as seen from frame of train cannot be (point of projection is origin).
Updated OnSep 5, 2022
TopicMotion in a Plane
SubjectPhysics
ClassClass 11
Answer TypeText solution:1 Video solution: 1
Upvotes225
Avg. Video Duration19 min