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For a body starting from rest and moving with a constant acceleration, if it acquires a velocity of 4 m/s in 2 seconds, what is the displacement in 10 seconds?
- a)25 m
- b)50 m
- c)500 m
- d)100 m
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
For a body starting from rest and moving with a constant acceleration,...
v = u + at
or
= 2m/s2
s = ut +
= 100 m
or
= 2m/s2s = ut +
= 100 m
Most Upvoted Answer
For a body starting from rest and moving with a constant acceleration,...
Understanding the Problem
To solve this problem, we need to find the displacement of a body that starts from rest and moves with constant acceleration. Given that it reaches a velocity of 4 m/s in 2 seconds, we can calculate the acceleration and then use that to find the displacement over a longer time frame.
Step 1: Calculate Acceleration
- The formula for acceleration (a) is given by:
a = (final velocity - initial velocity) / time
- Here, the initial velocity (u) is 0 m/s, the final velocity (v) is 4 m/s, and the time (t) is 2 seconds.
- Plugging in the values:
a = (4 m/s - 0 m/s) / 2 s = 2 m/s²
Step 2: Calculate Displacement in 10 Seconds
- To find the displacement (s) over 10 seconds, we can use the formula for displacement under constant acceleration:
s = ut + (1/2)at²
- Since the body starts from rest, u = 0 m/s, a = 2 m/s², and t = 10 seconds.
- Plugging in the values:
s = 0 + (1/2)(2 m/s²)(10 s)²
s = (1/2)(2)(100) = 100 m
Conclusion
Therefore, the displacement in 10 seconds is 100 m, confirming that the correct answer is option 'D'.
To solve this problem, we need to find the displacement of a body that starts from rest and moves with constant acceleration. Given that it reaches a velocity of 4 m/s in 2 seconds, we can calculate the acceleration and then use that to find the displacement over a longer time frame.
Step 1: Calculate Acceleration
- The formula for acceleration (a) is given by:
a = (final velocity - initial velocity) / time
- Here, the initial velocity (u) is 0 m/s, the final velocity (v) is 4 m/s, and the time (t) is 2 seconds.
- Plugging in the values:
a = (4 m/s - 0 m/s) / 2 s = 2 m/s²
Step 2: Calculate Displacement in 10 Seconds
- To find the displacement (s) over 10 seconds, we can use the formula for displacement under constant acceleration:
s = ut + (1/2)at²
- Since the body starts from rest, u = 0 m/s, a = 2 m/s², and t = 10 seconds.
- Plugging in the values:
s = 0 + (1/2)(2 m/s²)(10 s)²
s = (1/2)(2)(100) = 100 m
Conclusion
Therefore, the displacement in 10 seconds is 100 m, confirming that the correct answer is option 'D'.
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For a body starting from rest and moving with a constant acceleration, if it acquires a velocity of 4 m/s in 2 seconds, what is the displacement in 10 seconds?a)25 mb)50 mc)500 md)100 mCorrect answer is option 'D'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about For a body starting from rest and moving with a constant acceleration, if it acquires a velocity of 4 m/s in 2 seconds, what is the displacement in 10 seconds?a)25 mb)50 mc)500 md)100 mCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a body starting from rest and moving with a constant acceleration, if it acquires a velocity of 4 m/s in 2 seconds, what is the displacement in 10 seconds?a)25 mb)50 mc)500 md)100 mCorrect answer is option 'D'. Can you explain this answer?.
For a body starting from rest and moving with a constant acceleration, if it acquires a velocity of 4 m/s in 2 seconds, what is the displacement in 10 seconds?a)25 mb)50 mc)500 md)100 mCorrect answer is option 'D'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about For a body starting from rest and moving with a constant acceleration, if it acquires a velocity of 4 m/s in 2 seconds, what is the displacement in 10 seconds?a)25 mb)50 mc)500 md)100 mCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a body starting from rest and moving with a constant acceleration, if it acquires a velocity of 4 m/s in 2 seconds, what is the displacement in 10 seconds?a)25 mb)50 mc)500 md)100 mCorrect answer is option 'D'. Can you explain this answer?.
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