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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
Community Answer
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?.
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