Class 11 Exam > Class 11 Questions > The motion of a particle along a straight lin...
Start Learning for Free
The motion of a particle along a straight line is described by equation x=8+12t-t³ where x is in metre and t is in Sec. The retardation of the particle when it's velocity becomes zero is?
Most Upvoted Answer
The motion of a particle along a straight line is described by equati...
Problem: The motion of a particle along a straight line is described by equation x=8+12t-t³ where x is in metre and t is in Sec. The retardation of the particle when its velocity becomes zero is?
Solution:
To find the retardation of the particle, we first need to find the velocity of the particle. We can find the velocity by taking the derivative of the position equation with respect to time.
x = 8 + 12t - t³
v = dx/dt = 12 - 3t²
Setting the velocity to zero, we get:
12 - 3t² = 0
Solving for t, we get:
t = ±2
Since we are interested in the point where the velocity becomes zero, we take the positive value of t, which is t = 2 sec.
To find the retardation, we need to find the acceleration of the particle at t = 2 sec. We can find the acceleration by taking the derivative of the velocity equation with respect to time.
v = 12 - 3t²
a = dv/dt = -6t
Plugging in t = 2 sec, we get:
a = -12 m/s²
Therefore, the retardation of the particle when its velocity becomes zero is -12 m/s². This means that the particle is decelerating at a rate of 12 m/s².
Solution:
To find the retardation of the particle, we first need to find the velocity of the particle. We can find the velocity by taking the derivative of the position equation with respect to time.
x = 8 + 12t - t³
v = dx/dt = 12 - 3t²
Setting the velocity to zero, we get:
12 - 3t² = 0
Solving for t, we get:
t = ±2
Since we are interested in the point where the velocity becomes zero, we take the positive value of t, which is t = 2 sec.
To find the retardation, we need to find the acceleration of the particle at t = 2 sec. We can find the acceleration by taking the derivative of the velocity equation with respect to time.
v = 12 - 3t²
a = dv/dt = -6t
Plugging in t = 2 sec, we get:
a = -12 m/s²
Therefore, the retardation of the particle when its velocity becomes zero is -12 m/s². This means that the particle is decelerating at a rate of 12 m/s².
Community Answer
The motion of a particle along a straight line is described by equati...
Answer:
12 m/s²
Explanation:
x = 8 + 12t – t³ The final velocity of the particle will be zero, because it retarded.
V= 0 + 12 – 3t² = 0 ⇒ 3t² = 12 ⇒ t = 2 sec
Now the retardation a = dv/ dt = 0 – 6t
a [ t= 2] = – 12 m/s²
retardation = 12 m/s²
12 m/s²
Explanation:
x = 8 + 12t – t³ The final velocity of the particle will be zero, because it retarded.
V= 0 + 12 – 3t² = 0 ⇒ 3t² = 12 ⇒ t = 2 sec
Now the retardation a = dv/ dt = 0 – 6t
a [ t= 2] = – 12 m/s²
retardation = 12 m/s²
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
The motion of a particle along a straight line is described by equation x=8+12t-t³ where x is in metre and t is in Sec. The retardation of the particle when it's velocity becomes zero is?
Question Description
The motion of a particle along a straight line is described by equation x=8+12t-t³ where x is in metre and t is in Sec. The retardation of the particle when it's velocity becomes zero is? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The motion of a particle along a straight line is described by equation x=8+12t-t³ where x is in metre and t is in Sec. The retardation of the particle when it's velocity becomes zero is? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The motion of a particle along a straight line is described by equation x=8+12t-t³ where x is in metre and t is in Sec. The retardation of the particle when it's velocity becomes zero is? .
The motion of a particle along a straight line is described by equation x=8+12t-t³ where x is in metre and t is in Sec. The retardation of the particle when it's velocity becomes zero is? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The motion of a particle along a straight line is described by equation x=8+12t-t³ where x is in metre and t is in Sec. The retardation of the particle when it's velocity becomes zero is? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The motion of a particle along a straight line is described by equation x=8+12t-t³ where x is in metre and t is in Sec. The retardation of the particle when it's velocity becomes zero is? .
Solutions for The motion of a particle along a straight line is described by equation x=8+12t-t³ where x is in metre and t is in Sec. The retardation of the particle when it's velocity becomes zero is? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of The motion of a particle along a straight line is described by equation x=8+12t-t³ where x is in metre and t is in Sec. The retardation of the particle when it's velocity becomes zero is? defined & explained in the simplest way possible. Besides giving the explanation of
The motion of a particle along a straight line is described by equation x=8+12t-t³ where x is in metre and t is in Sec. The retardation of the particle when it's velocity becomes zero is? , a detailed solution for The motion of a particle along a straight line is described by equation x=8+12t-t³ where x is in metre and t is in Sec. The retardation of the particle when it's velocity becomes zero is? has been provided alongside types of The motion of a particle along a straight line is described by equation x=8+12t-t³ where x is in metre and t is in Sec. The retardation of the particle when it's velocity becomes zero is? theory, EduRev gives you an
ample number of questions to practice The motion of a particle along a straight line is described by equation x=8+12t-t³ where x is in metre and t is in Sec. The retardation of the particle when it's velocity becomes zero is? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
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