NEET Exam > NEET Questions > A particle starts from rest and moving with c...
Start Learning for Free
A particle starts from rest and moving with constant acceleration covers distance x1 in 3 second. and x2 in 5 second .the ratio x1/x2 is . 5/9 please answer with solution .?
Most Upvoted Answer
A particle starts from rest and moving with constant acceleration cove...
Problem: A particle starts from rest and moving with constant acceleration covers distance x1 in 3 second and x2 in 5 second. The ratio x1/x2 is 5/9. Find the acceleration of the particle.
Solution:
Let's assume the initial velocity of the particle is u and its acceleration is a.
Distance covered in 3 seconds:
The distance covered by the particle in the first 3 seconds can be calculated using the formula:
x1 = ut + 1/2 at^2
Since the particle starts from rest, u = 0. So, the above formula reduces to:
x1 = 1/2 at^2
Substituting t = 3, we get:
x1 = 1/2 × a × 3^2
x1 = 4.5a
Distance covered in 5 seconds:
Similarly, the distance covered by the particle in the first 5 seconds can be calculated using the same formula:
x2 = ut + 1/2 at^2
Since the particle starts from rest, u = 0. So, the above formula reduces to:
x2 = 1/2 at^2
Substituting t = 5, we get:
x2 = 1/2 × a × 5^2
x2 = 12.5a
Ratio of x1 and x2:
We are given that x1/x2 = 5/9. Substituting the values of x1 and x2, we get:
4.5a / 12.5a = 5/9
Simplifying the above equation, we get:
a = 5/9 × 12.5/4.5
a = 1.23 m/s^2 (approx.)
Therefore, the acceleration of the particle is 1.23 m/s^2.
Solution:
Let's assume the initial velocity of the particle is u and its acceleration is a.
Distance covered in 3 seconds:
The distance covered by the particle in the first 3 seconds can be calculated using the formula:
x1 = ut + 1/2 at^2
Since the particle starts from rest, u = 0. So, the above formula reduces to:
x1 = 1/2 at^2
Substituting t = 3, we get:
x1 = 1/2 × a × 3^2
x1 = 4.5a
Distance covered in 5 seconds:
Similarly, the distance covered by the particle in the first 5 seconds can be calculated using the same formula:
x2 = ut + 1/2 at^2
Since the particle starts from rest, u = 0. So, the above formula reduces to:
x2 = 1/2 at^2
Substituting t = 5, we get:
x2 = 1/2 × a × 5^2
x2 = 12.5a
Ratio of x1 and x2:
We are given that x1/x2 = 5/9. Substituting the values of x1 and x2, we get:
4.5a / 12.5a = 5/9
Simplifying the above equation, we get:
a = 5/9 × 12.5/4.5
a = 1.23 m/s^2 (approx.)
Therefore, the acceleration of the particle is 1.23 m/s^2.
Community Answer
A particle starts from rest and moving with constant acceleration cove...
9:25
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 starts from rest and moving with constant acceleration covers distance x1 in 3 second. and x2 in 5 second .the ratio x1/x2 is . 5/9 please answer with solution .?
Question Description
A particle starts from rest and moving with constant acceleration covers distance x1 in 3 second. and x2 in 5 second .the ratio x1/x2 is . 5/9 please answer with solution .? 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 starts from rest and moving with constant acceleration covers distance x1 in 3 second. and x2 in 5 second .the ratio x1/x2 is . 5/9 please answer with solution .? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle starts from rest and moving with constant acceleration covers distance x1 in 3 second. and x2 in 5 second .the ratio x1/x2 is . 5/9 please answer with solution .?.
A particle starts from rest and moving with constant acceleration covers distance x1 in 3 second. and x2 in 5 second .the ratio x1/x2 is . 5/9 please answer with solution .? 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 starts from rest and moving with constant acceleration covers distance x1 in 3 second. and x2 in 5 second .the ratio x1/x2 is . 5/9 please answer with solution .? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle starts from rest and moving with constant acceleration covers distance x1 in 3 second. and x2 in 5 second .the ratio x1/x2 is . 5/9 please answer with solution .?.
Solutions for A particle starts from rest and moving with constant acceleration covers distance x1 in 3 second. and x2 in 5 second .the ratio x1/x2 is . 5/9 please answer with solution .? 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 starts from rest and moving with constant acceleration covers distance x1 in 3 second. and x2 in 5 second .the ratio x1/x2 is . 5/9 please answer with solution .? defined & explained in the simplest way possible. Besides giving the explanation of
A particle starts from rest and moving with constant acceleration covers distance x1 in 3 second. and x2 in 5 second .the ratio x1/x2 is . 5/9 please answer with solution .?, a detailed solution for A particle starts from rest and moving with constant acceleration covers distance x1 in 3 second. and x2 in 5 second .the ratio x1/x2 is . 5/9 please answer with solution .? has been provided alongside types of A particle starts from rest and moving with constant acceleration covers distance x1 in 3 second. and x2 in 5 second .the ratio x1/x2 is . 5/9 please answer with solution .? theory, EduRev gives you an
ample number of questions to practice A particle starts from rest and moving with constant acceleration covers distance x1 in 3 second. and x2 in 5 second .the ratio x1/x2 is . 5/9 please answer with solution .? 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