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If the velocity of a body changes uniformly from u to v in time t, the sum of average velocity and acceleration is______.

  • a)
    (u+v)/t

  • b)
    (u-v)/t

  • c)
    2u/t

  • d)
    2v/t

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If the velocity of a body changes uniformly from u to v in time t, the...
The correct option is Option D 


Average velocity = (u + v)/t


Acceleration = (v - u)/t


Thus sum of average velocity and acceleration 


= (u + v )/t  + (v-u)/t   


= 2v/t
This question is part of UPSC exam. View all Class 9 courses
Most Upvoted Answer
If the velocity of a body changes uniformly from u to v in time t, the...
Solution:
Given, initial velocity (u) = u
Final velocity (v) = v
Time taken (t) = t

The formula for average velocity is given by:
Average velocity = (Initial velocity + Final velocity)/2

Therefore, the average velocity of the body is given by:
Average velocity = (u + v)/2

The formula for acceleration is given by:
Acceleration = (Change in velocity)/Time taken

Therefore, the acceleration of the body is given by:
Acceleration = (v - u)/t

The sum of average velocity and acceleration is given by:
Average velocity + Acceleration = (u + v)/2 + (v - u)/t

On simplifying, we get:
Average velocity + Acceleration = (2v)/t

Hence, the correct option is (d) 2v/t.
Community Answer
If the velocity of a body changes uniformly from u to v in time t, the...
Average velocity = (u +v) /2
So the question is wrong or the given options are wrong
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