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A body starts from rest and moves with acceleration a. After time t it moves with constant velocity for further time t and then retards with 2a.what is the average velocity for the complete motion? 1) at 2) 7at/3 3)7at/10 4)7at/4?
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A body starts from rest and moves with acceleration a. After time t it...
Solution:
Given, initial velocity u = 0
Acceleration a
Time taken to reach constant velocity = t
Velocity at constant velocity = v = at
Time taken to retard = t
Acceleration during retardation = -2a
Final velocity = 0
We need to find the average velocity for the complete motion.
Let’s divide the complete motion into three parts:
First part: Body moves with acceleration a from rest to velocity v in time t.
Second part: Body moves with constant velocity v for time t.
Third part: Body retards with acceleration -2a from velocity v to zero velocity in time t.
Average velocity = Total distance travelled / Total time taken
Total distance travelled = Distance travelled in first part + Distance travelled in second part + Distance travelled in third part
Distance travelled in first part = (1/2)at^2
Distance travelled in second part = vt = at^2
Distance travelled in third part = (1/2)×(-2a)×t^2 = -at^2
Total distance travelled = (1/2)at^2 + at^2 – at^2 = (3/2)at^2
Total time taken = 3t
Therefore, average velocity = (3/2)at^2 / 3t = (1/2)at
Hence, the correct option is (1) at.
Answer: (1) at
Given, initial velocity u = 0
Acceleration a
Time taken to reach constant velocity = t
Velocity at constant velocity = v = at
Time taken to retard = t
Acceleration during retardation = -2a
Final velocity = 0
We need to find the average velocity for the complete motion.
Let’s divide the complete motion into three parts:
First part: Body moves with acceleration a from rest to velocity v in time t.
Second part: Body moves with constant velocity v for time t.
Third part: Body retards with acceleration -2a from velocity v to zero velocity in time t.
Average velocity = Total distance travelled / Total time taken
Total distance travelled = Distance travelled in first part + Distance travelled in second part + Distance travelled in third part
Distance travelled in first part = (1/2)at^2
Distance travelled in second part = vt = at^2
Distance travelled in third part = (1/2)×(-2a)×t^2 = -at^2
Total distance travelled = (1/2)at^2 + at^2 – at^2 = (3/2)at^2
Total time taken = 3t
Therefore, average velocity = (3/2)at^2 / 3t = (1/2)at
Hence, the correct option is (1) at.
Answer: (1) at
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A body starts from rest and moves with acceleration a. After time t it...
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A body starts from rest and moves with acceleration a. After time t it moves with constant velocity for further time t and then retards with 2a.what is the average velocity for the complete motion? 1) at 2) 7at/3 3)7at/10 4)7at/4?
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A body starts from rest and moves with acceleration a. After time t it moves with constant velocity for further time t and then retards with 2a.what is the average velocity for the complete motion? 1) at 2) 7at/3 3)7at/10 4)7at/4? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A body starts from rest and moves with acceleration a. After time t it moves with constant velocity for further time t and then retards with 2a.what is the average velocity for the complete motion? 1) at 2) 7at/3 3)7at/10 4)7at/4? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body starts from rest and moves with acceleration a. After time t it moves with constant velocity for further time t and then retards with 2a.what is the average velocity for the complete motion? 1) at 2) 7at/3 3)7at/10 4)7at/4?.
A body starts from rest and moves with acceleration a. After time t it moves with constant velocity for further time t and then retards with 2a.what is the average velocity for the complete motion? 1) at 2) 7at/3 3)7at/10 4)7at/4? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A body starts from rest and moves with acceleration a. After time t it moves with constant velocity for further time t and then retards with 2a.what is the average velocity for the complete motion? 1) at 2) 7at/3 3)7at/10 4)7at/4? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body starts from rest and moves with acceleration a. After time t it moves with constant velocity for further time t and then retards with 2a.what is the average velocity for the complete motion? 1) at 2) 7at/3 3)7at/10 4)7at/4?.
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