NEET Exam > NEET Questions > A particle is projected from point O with vel...
Start Learning for Free
A particle is projected from point O with velocity u in a direction making an angle alpha with the horizontal. At any instant its position is at point P at right angles to the initial direction of projection. Its velocity at point P is-?
Most Upvoted Answer
A particle is projected from point O with velocity u in a direction ma...
**Projectile Motion**
Projectile motion refers to the motion of an object that is launched into the air and moves along a curved path under the influence of gravity. When a particle is projected from point O with velocity u at an angle α with the horizontal, it follows a parabolic path.
**Components of Velocity**
The initial velocity u can be resolved into two components: one along the horizontal direction (uₓ) and the other along the vertical direction (uᵧ). The horizontal component remains constant throughout the motion, while the vertical component changes due to the influence of gravity.
The vertical component of velocity (uᵧ) can be calculated using the equation:
uᵧ = u * sin(α)
The horizontal component of velocity (uₓ) can be calculated using the equation:
uₓ = u * cos(α)
**Position at Point P**
At any instant, the position of the particle is at point P, which is at right angles to the initial direction of projection. This means that the particle has reached its maximum height and is about to descend. Point P is located on the parabolic path of the projectile.
**Velocity at Point P**
The velocity at point P can be determined by considering the change in vertical and horizontal components of the velocity.
1. Vertical Component of Velocity at Point P:
At point P, the vertical component of velocity becomes zero as the particle reaches its maximum height and starts descending. This is because the particle has momentarily come to a stop in the vertical direction before changing direction and accelerating downwards. Therefore, the vertical component of velocity at point P is zero (vᵧ = 0).
2. Horizontal Component of Velocity at Point P:
The horizontal component of velocity remains constant throughout the motion and does not change at point P. Therefore, the horizontal component of velocity at point P is the same as the initial horizontal component (uₓ).
Hence, the velocity at point P is given by:
v = √(vₓ² + vᵧ²) = √(uₓ² + vᵧ²) = √(uₓ² + 0) = uₓ
Therefore, the velocity at point P is equal to the horizontal component of the initial velocity (uₓ).
Projectile motion refers to the motion of an object that is launched into the air and moves along a curved path under the influence of gravity. When a particle is projected from point O with velocity u at an angle α with the horizontal, it follows a parabolic path.
**Components of Velocity**
The initial velocity u can be resolved into two components: one along the horizontal direction (uₓ) and the other along the vertical direction (uᵧ). The horizontal component remains constant throughout the motion, while the vertical component changes due to the influence of gravity.
The vertical component of velocity (uᵧ) can be calculated using the equation:
uᵧ = u * sin(α)
The horizontal component of velocity (uₓ) can be calculated using the equation:
uₓ = u * cos(α)
**Position at Point P**
At any instant, the position of the particle is at point P, which is at right angles to the initial direction of projection. This means that the particle has reached its maximum height and is about to descend. Point P is located on the parabolic path of the projectile.
**Velocity at Point P**
The velocity at point P can be determined by considering the change in vertical and horizontal components of the velocity.
1. Vertical Component of Velocity at Point P:
At point P, the vertical component of velocity becomes zero as the particle reaches its maximum height and starts descending. This is because the particle has momentarily come to a stop in the vertical direction before changing direction and accelerating downwards. Therefore, the vertical component of velocity at point P is zero (vᵧ = 0).
2. Horizontal Component of Velocity at Point P:
The horizontal component of velocity remains constant throughout the motion and does not change at point P. Therefore, the horizontal component of velocity at point P is the same as the initial horizontal component (uₓ).
Hence, the velocity at point P is given by:
v = √(vₓ² + vᵧ²) = √(uₓ² + vᵧ²) = √(uₓ² + 0) = uₓ
Therefore, the velocity at point P is equal to the horizontal component of the initial velocity (uₓ).
Community Answer
A particle is projected from point O with velocity u in a direction ma...
U making an angle aloha with horizontal in downward direction
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
Explore Courses for NEET exam
|
|
Top Courses for NEETView all
A particle is projected from point O with velocity u in a direction making an angle alpha with the horizontal. At any instant its position is at point P at right angles to the initial direction of projection. Its velocity at point P is-?
Question Description
A particle is projected from point O with velocity u in a direction making an angle alpha with the horizontal. At any instant its position is at point P at right angles to the initial direction of projection. Its velocity at point P is-? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A particle is projected from point O with velocity u in a direction making an angle alpha with the horizontal. At any instant its position is at point P at right angles to the initial direction of projection. Its velocity at point P is-? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle is projected from point O with velocity u in a direction making an angle alpha with the horizontal. At any instant its position is at point P at right angles to the initial direction of projection. Its velocity at point P is-?.
A particle is projected from point O with velocity u in a direction making an angle alpha with the horizontal. At any instant its position is at point P at right angles to the initial direction of projection. Its velocity at point P is-? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A particle is projected from point O with velocity u in a direction making an angle alpha with the horizontal. At any instant its position is at point P at right angles to the initial direction of projection. Its velocity at point P is-? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle is projected from point O with velocity u in a direction making an angle alpha with the horizontal. At any instant its position is at point P at right angles to the initial direction of projection. Its velocity at point P is-?.
Solutions for A particle is projected from point O with velocity u in a direction making an angle alpha with the horizontal. At any instant its position is at point P at right angles to the initial direction of projection. Its velocity at point P is-? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of A particle is projected from point O with velocity u in a direction making an angle alpha with the horizontal. At any instant its position is at point P at right angles to the initial direction of projection. Its velocity at point P is-? defined & explained in the simplest way possible. Besides giving the explanation of
A particle is projected from point O with velocity u in a direction making an angle alpha with the horizontal. At any instant its position is at point P at right angles to the initial direction of projection. Its velocity at point P is-?, a detailed solution for A particle is projected from point O with velocity u in a direction making an angle alpha with the horizontal. At any instant its position is at point P at right angles to the initial direction of projection. Its velocity at point P is-? has been provided alongside types of A particle is projected from point O with velocity u in a direction making an angle alpha with the horizontal. At any instant its position is at point P at right angles to the initial direction of projection. Its velocity at point P is-? theory, EduRev gives you an
ample number of questions to practice A particle is projected from point O with velocity u in a direction making an angle alpha with the horizontal. At any instant its position is at point P at right angles to the initial direction of projection. Its velocity at point P is-? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup