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A body moves along x-axis such that its displacement varies with time s given, x=7+3t+5t^2. The average velocity during 3rd second is : 1) 28m/s 2)42m/s 3)56m/s 4)15m/s?
Verified Answer
A body moves along x-axis such that its displacement varies with time ...
displacement at time t = 2 is x = 7 + 6 + 20 = 33
at time t=3 displacement x = 7 + 9 + 45 = 61
so average velocity in 3rd second is = 61- 33/1
= 28m/s
This question is part of UPSC exam. View all Class 11 courses
Most Upvoted Answer
A body moves along x-axis such that its displacement varies with time ...
Given:
Displacement of the body, x = 7 + 3t + 5t^2
To Find:
The average velocity during the 3rd second.
Explanation:
To find the average velocity during the 3rd second, we need to calculate the total displacement of the body during that time interval and divide it by the time taken.
Step 1: Calculate the displacement during the 3rd second.
To find the displacement during the 3rd second, we substitute t = 3 into the displacement equation.
x = 7 + 3(3) + 5(3)^2
x = 7 + 9 + 5(9)
x = 7 + 9 + 45
x = 61
So, the displacement during the 3rd second is 61 meters.
Step 2: Calculate the time taken during the 3rd second.
The time taken during the 3rd second is equal to the difference between the time at the end of the 3rd second and the time at the beginning of the 3rd second.
Time at the end of the 3rd second = 3 seconds
Time at the beginning of the 3rd second = 2 seconds
Time taken during the 3rd second = 3 seconds - 2 seconds = 1 second
Step 3: Calculate the average velocity.
Average velocity = Displacement / Time taken
Average velocity = 61 meters / 1 second
Average velocity = 61 meters/second
Therefore, the average velocity during the 3rd second is 61 m/s.
Answer:
The average velocity during the 3rd second is 61 m/s.
Displacement of the body, x = 7 + 3t + 5t^2
To Find:
The average velocity during the 3rd second.
Explanation:
To find the average velocity during the 3rd second, we need to calculate the total displacement of the body during that time interval and divide it by the time taken.
Step 1: Calculate the displacement during the 3rd second.
To find the displacement during the 3rd second, we substitute t = 3 into the displacement equation.
x = 7 + 3(3) + 5(3)^2
x = 7 + 9 + 5(9)
x = 7 + 9 + 45
x = 61
So, the displacement during the 3rd second is 61 meters.
Step 2: Calculate the time taken during the 3rd second.
The time taken during the 3rd second is equal to the difference between the time at the end of the 3rd second and the time at the beginning of the 3rd second.
Time at the end of the 3rd second = 3 seconds
Time at the beginning of the 3rd second = 2 seconds
Time taken during the 3rd second = 3 seconds - 2 seconds = 1 second
Step 3: Calculate the average velocity.
Average velocity = Displacement / Time taken
Average velocity = 61 meters / 1 second
Average velocity = 61 meters/second
Therefore, the average velocity during the 3rd second is 61 m/s.
Answer:
The average velocity during the 3rd second is 61 m/s.
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A body moves along x-axis such that its displacement varies with time s given, x=7+3t+5t^2. The average velocity during 3rd second is : 1) 28m/s 2)42m/s 3)56m/s 4)15m/s?
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A body moves along x-axis such that its displacement varies with time s given, x=7+3t+5t^2. The average velocity during 3rd second is : 1) 28m/s 2)42m/s 3)56m/s 4)15m/s? 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 moves along x-axis such that its displacement varies with time s given, x=7+3t+5t^2. The average velocity during 3rd second is : 1) 28m/s 2)42m/s 3)56m/s 4)15m/s? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body moves along x-axis such that its displacement varies with time s given, x=7+3t+5t^2. The average velocity during 3rd second is : 1) 28m/s 2)42m/s 3)56m/s 4)15m/s?.
A body moves along x-axis such that its displacement varies with time s given, x=7+3t+5t^2. The average velocity during 3rd second is : 1) 28m/s 2)42m/s 3)56m/s 4)15m/s? 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 moves along x-axis such that its displacement varies with time s given, x=7+3t+5t^2. The average velocity during 3rd second is : 1) 28m/s 2)42m/s 3)56m/s 4)15m/s? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body moves along x-axis such that its displacement varies with time s given, x=7+3t+5t^2. The average velocity during 3rd second is : 1) 28m/s 2)42m/s 3)56m/s 4)15m/s?.
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