Class 11 Exam > Class 11 Questions > A body is projected in vertical direction. Th...
Start Learning for Free
A body is projected in vertical direction. The altitude y is given by. y=10t²-9t 5. Calculate initial velocity of body?
Most Upvoted Answer
A body is projected in vertical direction. The altitude y is given by....
Calculation of Initial Velocity of a Projected Body
When a body is projected in the vertical direction, its altitude can be given as y = ut + (1/2)gt^2, where u is the initial velocity of the body, t is the time for which it is projected, and g is the acceleration due to gravity.
Given, y = 10t^2 - 9t + 5
Step 1: Find the Derivative of Altitude with Respect to Time
To determine the initial velocity of the body, we need to find the derivative of altitude with respect to time, which gives us the velocity at any given time.
dy/dt = 20t - 9
Step 2: Determine the Velocity at t = 0
The initial velocity of the body is the velocity at the time of projection, which is t = 0.
Therefore, substituting t = 0 in the above equation, we get
dy/dt = 20(0) - 9 = -9
Therefore, the initial velocity of the body is -9 m/s.
Step 3: Interpretation of the Result
The negative sign indicates that the body was projected in the upward direction, i.e., against the direction of gravity. The magnitude of the initial velocity is 9 m/s, which means that the body was projected with a speed of 9 m/s.
Conclusion
Hence, the initial velocity of the projected body is -9 m/s, and it was projected in the upward direction with a speed of 9 m/s.
When a body is projected in the vertical direction, its altitude can be given as y = ut + (1/2)gt^2, where u is the initial velocity of the body, t is the time for which it is projected, and g is the acceleration due to gravity.
Given, y = 10t^2 - 9t + 5
Step 1: Find the Derivative of Altitude with Respect to Time
To determine the initial velocity of the body, we need to find the derivative of altitude with respect to time, which gives us the velocity at any given time.
dy/dt = 20t - 9
Step 2: Determine the Velocity at t = 0
The initial velocity of the body is the velocity at the time of projection, which is t = 0.
Therefore, substituting t = 0 in the above equation, we get
dy/dt = 20(0) - 9 = -9
Therefore, the initial velocity of the body is -9 m/s.
Step 3: Interpretation of the Result
The negative sign indicates that the body was projected in the upward direction, i.e., against the direction of gravity. The magnitude of the initial velocity is 9 m/s, which means that the body was projected with a speed of 9 m/s.
Conclusion
Hence, the initial velocity of the projected body is -9 m/s, and it was projected in the upward direction with a speed of 9 m/s.
Community Answer
A body is projected in vertical direction. The altitude y is given by....
L think -9m/s
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
A body is projected in vertical direction. The altitude y is given by. y=10t²-9t 5. Calculate initial velocity of body?
Question Description
A body is projected in vertical direction. The altitude y is given by. y=10t²-9t 5. Calculate initial velocity of body? 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 A body is projected in vertical direction. The altitude y is given by. y=10t²-9t 5. Calculate initial velocity of body? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body is projected in vertical direction. The altitude y is given by. y=10t²-9t 5. Calculate initial velocity of body?.
A body is projected in vertical direction. The altitude y is given by. y=10t²-9t 5. Calculate initial velocity of body? 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 A body is projected in vertical direction. The altitude y is given by. y=10t²-9t 5. Calculate initial velocity of body? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body is projected in vertical direction. The altitude y is given by. y=10t²-9t 5. Calculate initial velocity of body?.
Solutions for A body is projected in vertical direction. The altitude y is given by. y=10t²-9t 5. Calculate initial velocity of body? 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 A body is projected in vertical direction. The altitude y is given by. y=10t²-9t 5. Calculate initial velocity of body? defined & explained in the simplest way possible. Besides giving the explanation of
A body is projected in vertical direction. The altitude y is given by. y=10t²-9t 5. Calculate initial velocity of body?, a detailed solution for A body is projected in vertical direction. The altitude y is given by. y=10t²-9t 5. Calculate initial velocity of body? has been provided alongside types of A body is projected in vertical direction. The altitude y is given by. y=10t²-9t 5. Calculate initial velocity of body? theory, EduRev gives you an
ample number of questions to practice A body is projected in vertical direction. The altitude y is given by. y=10t²-9t 5. Calculate initial velocity of body? 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