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A body starts from rest and moves with constant acceleration for t s. It travels a distance x1 in first half of time and x2 in next half of time, then
- a)x2 = 3x1
- b)x2 = x1
- c)x2 = 4x1
- d)x2 = 2x1
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A body starts from rest and moves with constant acceleration for t s. ...
As the body starts from rest,
∴ u = 0
Let a be constant acceleration of the body.
Distance travelled by the body in (t/2) s is
x1=ut + 1/2 at2
∴ u = 0
Let a be constant acceleration of the body.
Distance travelled by the body in (t/2) s is
x1=ut + 1/2 at2
Distance travelled by the body in t s is
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Community Answer
A body starts from rest and moves with constant acceleration for t s. ...
Solution:
Given, initial velocity u = 0
Let the acceleration be a.
After time t, the final velocity v = u + at = at
Using the first equation of motion, we get
x1 = (1/2)at^2
x2 = x - x1 = (1/2)at^2
Therefore, x1 = x2 = (1/4)xt^2
Now, we can use the formula for average velocity to find the average velocity during the entire time t.
Average velocity = (total distance)/(total time)
= (x1 + x2)/(t/2 + t/2)
= 2(x1 + x2)/t
= (1/2)(x/t)t^2
= (1/2)at^2
Now, we can use the formula for average velocity to find the final velocity at time t.
Average velocity = (initial velocity + final velocity)/2
Substituting the values, we get
(1/2)at = v/2
v = at
Now, using the third equation of motion, we can find the distance travelled in the second half of the time.
x2 = vt - (1/2)at^2
Substituting the value of v, we get
x2 = (1/2)at^2
Therefore, x2 = 3x1.
Hence, option A is the correct answer.
Given, initial velocity u = 0
Let the acceleration be a.
After time t, the final velocity v = u + at = at
Using the first equation of motion, we get
x1 = (1/2)at^2
x2 = x - x1 = (1/2)at^2
Therefore, x1 = x2 = (1/4)xt^2
Now, we can use the formula for average velocity to find the average velocity during the entire time t.
Average velocity = (total distance)/(total time)
= (x1 + x2)/(t/2 + t/2)
= 2(x1 + x2)/t
= (1/2)(x/t)t^2
= (1/2)at^2
Now, we can use the formula for average velocity to find the final velocity at time t.
Average velocity = (initial velocity + final velocity)/2
Substituting the values, we get
(1/2)at = v/2
v = at
Now, using the third equation of motion, we can find the distance travelled in the second half of the time.
x2 = vt - (1/2)at^2
Substituting the value of v, we get
x2 = (1/2)at^2
Therefore, x2 = 3x1.
Hence, option A is the correct answer.
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Question Description
A body starts from rest and moves with constant acceleration for t s. It travels a distance x1 in first half of time and x2 in next half of time, thena)x2= 3x1b)x2= x1c)x2= 4x1d)x2= 2x1Correct answer is option 'A'. Can you explain this answer? for NEET 2026 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 constant acceleration for t s. It travels a distance x1 in first half of time and x2 in next half of time, thena)x2= 3x1b)x2= x1c)x2= 4x1d)x2= 2x1Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body starts from rest and moves with constant acceleration for t s. It travels a distance x1 in first half of time and x2 in next half of time, thena)x2= 3x1b)x2= x1c)x2= 4x1d)x2= 2x1Correct answer is option 'A'. Can you explain this answer?.
A body starts from rest and moves with constant acceleration for t s. It travels a distance x1 in first half of time and x2 in next half of time, thena)x2= 3x1b)x2= x1c)x2= 4x1d)x2= 2x1Correct answer is option 'A'. Can you explain this answer? for NEET 2026 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 constant acceleration for t s. It travels a distance x1 in first half of time and x2 in next half of time, thena)x2= 3x1b)x2= x1c)x2= 4x1d)x2= 2x1Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body starts from rest and moves with constant acceleration for t s. It travels a distance x1 in first half of time and x2 in next half of time, thena)x2= 3x1b)x2= x1c)x2= 4x1d)x2= 2x1Correct answer is option 'A'. Can you explain this answer?.
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