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A particle start moving from rest state along a straight line under the action of a constant force and travel distance x in first 5 seconds. the distance travelled by it in next five seconds will be -op.1.x ,, op.2.2x,, op.3.3x,, op.4.4x.?
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A particle start moving from rest state along a straight line under th...
Understanding the Problem
A particle starts from rest and moves under a constant force, which means it accelerates uniformly. We can use the equations of motion to analyze its behavior over time.
Distance Traveled in the First 5 Seconds
- The distance traveled in the first 5 seconds (denoted as x) can be calculated using the formula for distance under uniform acceleration:
Distance = (1/2) * acceleration * time².
- Since the particle starts from rest, we have:
Distance (x) = (1/2) * a * (5)² = (25/2) * a.
Distance Traveled in the Next 5 Seconds
- In the next 5 seconds (from t = 5s to t = 10s), we need to calculate the distance again using the same formula.
- The total time is now 10 seconds. The distance traveled in 10 seconds is:
Distance (D_total) = (1/2) * a * (10)² = 50 * a.
- The distance traveled in the next 5 seconds is the distance from 5 to 10 seconds:
Distance (D_next) = D_total - Distance in first 5 seconds = 50 * a - (25/2) * a.
- Simplifying this, we get:
D_next = 50 * a - 12.5 * a = 37.5 * a.
Comparing Distances
- Since the distance traveled in the first 5 seconds is x = (25/2) * a, we can express D_next in terms of x:
D_next = 3x.
Conclusion
The distance traveled by the particle in the next five seconds is 3 times the distance traveled in the first five seconds. Therefore, the answer is:
- Option 3: 3x.
A particle starts from rest and moves under a constant force, which means it accelerates uniformly. We can use the equations of motion to analyze its behavior over time.
Distance Traveled in the First 5 Seconds
- The distance traveled in the first 5 seconds (denoted as x) can be calculated using the formula for distance under uniform acceleration:
Distance = (1/2) * acceleration * time².
- Since the particle starts from rest, we have:
Distance (x) = (1/2) * a * (5)² = (25/2) * a.
Distance Traveled in the Next 5 Seconds
- In the next 5 seconds (from t = 5s to t = 10s), we need to calculate the distance again using the same formula.
- The total time is now 10 seconds. The distance traveled in 10 seconds is:
Distance (D_total) = (1/2) * a * (10)² = 50 * a.
- The distance traveled in the next 5 seconds is the distance from 5 to 10 seconds:
Distance (D_next) = D_total - Distance in first 5 seconds = 50 * a - (25/2) * a.
- Simplifying this, we get:
D_next = 50 * a - 12.5 * a = 37.5 * a.
Comparing Distances
- Since the distance traveled in the first 5 seconds is x = (25/2) * a, we can express D_next in terms of x:
D_next = 3x.
Conclusion
The distance traveled by the particle in the next five seconds is 3 times the distance traveled in the first five seconds. Therefore, the answer is:
- Option 3: 3x.
Community Answer
A particle start moving from rest state along a straight line under th...
3) 3x
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A particle start moving from rest state along a straight line under the action of a constant force and travel distance x in first 5 seconds. the distance travelled by it in next five seconds will be -op.1.x ,, op.2.2x,, op.3.3x,, op.4.4x.?
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A particle start moving from rest state along a straight line under the action of a constant force and travel distance x in first 5 seconds. the distance travelled by it in next five seconds will be -op.1.x ,, op.2.2x,, op.3.3x,, op.4.4x.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A particle start moving from rest state along a straight line under the action of a constant force and travel distance x in first 5 seconds. the distance travelled by it in next five seconds will be -op.1.x ,, op.2.2x,, op.3.3x,, op.4.4x.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle start moving from rest state along a straight line under the action of a constant force and travel distance x in first 5 seconds. the distance travelled by it in next five seconds will be -op.1.x ,, op.2.2x,, op.3.3x,, op.4.4x.?.
A particle start moving from rest state along a straight line under the action of a constant force and travel distance x in first 5 seconds. the distance travelled by it in next five seconds will be -op.1.x ,, op.2.2x,, op.3.3x,, op.4.4x.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A particle start moving from rest state along a straight line under the action of a constant force and travel distance x in first 5 seconds. the distance travelled by it in next five seconds will be -op.1.x ,, op.2.2x,, op.3.3x,, op.4.4x.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle start moving from rest state along a straight line under the action of a constant force and travel distance x in first 5 seconds. the distance travelled by it in next five seconds will be -op.1.x ,, op.2.2x,, op.3.3x,, op.4.4x.?.
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