NEET Exam > NEET Questions > A particle is projected from origin with velo...
Start Learning for Free
A particle is projected from origin with velocity (4i+9j) .the acceleration in the region is constant and-10j the magnitude of velocity after one second is.?
Most Upvoted Answer
A particle is projected from origin with velocity (4i+9j) .the acceler...
Given:
- Initial velocity of the particle, v0 = 4i + 9j
- Constant acceleration, a = -10j
To find:
- Magnitude of velocity after one second
Approach:
To find the magnitude of velocity after one second, we can use the equations of motion.
Equations of motion:
1. v = u + at
2. v2 = u2 + 2as
Solution:
1. Calculating the velocity after one second using equation 1:
Initial velocity, u = 4i + 9j
Acceleration, a = -10j
Time, t = 1 second
Using equation 1: v = u + at
v = (4i + 9j) + (-10j)
v = 4i - j
2. Finding the magnitude of velocity after one second:
The magnitude of a vector is given by the formula: |v| = √(vx2 + vy2)
Given v = 4i - j
vx = 4
vy = -1
Using the magnitude formula: |v| = √(42 + (-1)2)
|v| = √(16 + 1)
|v| = √17
Therefore, the magnitude of velocity after one second is √17.
Summary:
The magnitude of velocity after one second for a particle projected from the origin with initial velocity (4i + 9j) and constant acceleration (-10j) is √17.
- Initial velocity of the particle, v0 = 4i + 9j
- Constant acceleration, a = -10j
To find:
- Magnitude of velocity after one second
Approach:
To find the magnitude of velocity after one second, we can use the equations of motion.
Equations of motion:
1. v = u + at
2. v2 = u2 + 2as
Solution:
1. Calculating the velocity after one second using equation 1:
Initial velocity, u = 4i + 9j
Acceleration, a = -10j
Time, t = 1 second
Using equation 1: v = u + at
v = (4i + 9j) + (-10j)
v = 4i - j
2. Finding the magnitude of velocity after one second:
The magnitude of a vector is given by the formula: |v| = √(vx2 + vy2)
Given v = 4i - j
vx = 4
vy = -1
Using the magnitude formula: |v| = √(42 + (-1)2)
|v| = √(16 + 1)
|v| = √17
Therefore, the magnitude of velocity after one second is √17.
Summary:
The magnitude of velocity after one second for a particle projected from the origin with initial velocity (4i + 9j) and constant acceleration (-10j) is √17.
Community Answer
A particle is projected from origin with velocity (4i+9j) .the acceler...
Use v=u + at whr we need to find v and time t=1 'u' is given 4i+9j nd a=-10 j...substitute in the equation...v= (4i+9j)-(10j)(1)..v= 4i-1j...
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
|
|
Similar NEET Doubts
Top Courses for NEETView all
A particle is projected from origin with velocity (4i+9j) .the acceleration in the region is constant and-10j the magnitude of velocity after one second is.?
Question Description
A particle is projected from origin with velocity (4i+9j) .the acceleration in the region is constant and-10j the magnitude of velocity after one second 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 origin with velocity (4i+9j) .the acceleration in the region is constant and-10j the magnitude of velocity after one second 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 origin with velocity (4i+9j) .the acceleration in the region is constant and-10j the magnitude of velocity after one second is.?.
A particle is projected from origin with velocity (4i+9j) .the acceleration in the region is constant and-10j the magnitude of velocity after one second 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 origin with velocity (4i+9j) .the acceleration in the region is constant and-10j the magnitude of velocity after one second 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 origin with velocity (4i+9j) .the acceleration in the region is constant and-10j the magnitude of velocity after one second is.?.
Solutions for A particle is projected from origin with velocity (4i+9j) .the acceleration in the region is constant and-10j the magnitude of velocity after one second 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 origin with velocity (4i+9j) .the acceleration in the region is constant and-10j the magnitude of velocity after one second is.? defined & explained in the simplest way possible. Besides giving the explanation of
A particle is projected from origin with velocity (4i+9j) .the acceleration in the region is constant and-10j the magnitude of velocity after one second is.?, a detailed solution for A particle is projected from origin with velocity (4i+9j) .the acceleration in the region is constant and-10j the magnitude of velocity after one second is.? has been provided alongside types of A particle is projected from origin with velocity (4i+9j) .the acceleration in the region is constant and-10j the magnitude of velocity after one second is.? theory, EduRev gives you an
ample number of questions to practice A particle is projected from origin with velocity (4i+9j) .the acceleration in the region is constant and-10j the magnitude of velocity after one second 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