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A particle moves along a straight line with a con- stant acceleration an average velocity of 8 m/sec, 6m/sec and 4m/sec for 1st 2sec, next 3 sec and next second respectively then the value oft is: a) 4 sec b) 3 sec c) 2 sec d) 1 sec?
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A particle moves along a straight line with a con- stant acceleration ...
Given Information:
- Average velocity of the particle: 8 m/s for 1st 2 sec, 6 m/s for next 3 sec, and 4 m/s for the next second
Calculating Acceleration:
- We know that acceleration is the rate of change of velocity
- Therefore, acceleration can be calculated using the formula: acceleration = (final velocity - initial velocity) / time taken
- For the first 2 seconds, the acceleration can be calculated as (8 m/s - 0 m/s) / 2 sec = 4 m/s^2
- For the next 3 seconds, the acceleration can be calculated as (6 m/s - 8 m/s) / 3 sec = -2/3 m/s^2
- For the next second, the acceleration can be calculated as (4 m/s - 6 m/s) / 1 sec = -2 m/s^2
Calculating total time:
- Let's assume the total time taken by the particle is 't' seconds
- Using the average velocity formula: average velocity = (initial velocity + final velocity) / 2
- We can calculate the total distance covered by the particle using the formula: distance = average velocity * time taken
- Since the particle moves with constant acceleration, we can use the equations of motion to calculate the total time taken by the particle
Solution:
- By analyzing the given information and using the equations of motion, we can calculate the total time taken by the particle
- The correct answer can be determined by solving the equations and finding the value of 't'
Therefore, the value of 't' in this scenario is 2 seconds (c)
- Average velocity of the particle: 8 m/s for 1st 2 sec, 6 m/s for next 3 sec, and 4 m/s for the next second
Calculating Acceleration:
- We know that acceleration is the rate of change of velocity
- Therefore, acceleration can be calculated using the formula: acceleration = (final velocity - initial velocity) / time taken
- For the first 2 seconds, the acceleration can be calculated as (8 m/s - 0 m/s) / 2 sec = 4 m/s^2
- For the next 3 seconds, the acceleration can be calculated as (6 m/s - 8 m/s) / 3 sec = -2/3 m/s^2
- For the next second, the acceleration can be calculated as (4 m/s - 6 m/s) / 1 sec = -2 m/s^2
Calculating total time:
- Let's assume the total time taken by the particle is 't' seconds
- Using the average velocity formula: average velocity = (initial velocity + final velocity) / 2
- We can calculate the total distance covered by the particle using the formula: distance = average velocity * time taken
- Since the particle moves with constant acceleration, we can use the equations of motion to calculate the total time taken by the particle
Solution:
- By analyzing the given information and using the equations of motion, we can calculate the total time taken by the particle
- The correct answer can be determined by solving the equations and finding the value of 't'
Therefore, the value of 't' in this scenario is 2 seconds (c)
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A particle moves along a straight line with a con- stant acceleration an average velocity of 8 m/sec, 6m/sec and 4m/sec for 1st 2sec, next 3 sec and next second respectively then the value oft is: a) 4 sec b) 3 sec c) 2 sec d) 1 sec?
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A particle moves along a straight line with a con- stant acceleration an average velocity of 8 m/sec, 6m/sec and 4m/sec for 1st 2sec, next 3 sec and next second respectively then the value oft is: a) 4 sec b) 3 sec c) 2 sec d) 1 sec? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A particle moves along a straight line with a con- stant acceleration an average velocity of 8 m/sec, 6m/sec and 4m/sec for 1st 2sec, next 3 sec and next second respectively then the value oft is: a) 4 sec b) 3 sec c) 2 sec d) 1 sec? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle moves along a straight line with a con- stant acceleration an average velocity of 8 m/sec, 6m/sec and 4m/sec for 1st 2sec, next 3 sec and next second respectively then the value oft is: a) 4 sec b) 3 sec c) 2 sec d) 1 sec?.
A particle moves along a straight line with a con- stant acceleration an average velocity of 8 m/sec, 6m/sec and 4m/sec for 1st 2sec, next 3 sec and next second respectively then the value oft is: a) 4 sec b) 3 sec c) 2 sec d) 1 sec? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A particle moves along a straight line with a con- stant acceleration an average velocity of 8 m/sec, 6m/sec and 4m/sec for 1st 2sec, next 3 sec and next second respectively then the value oft is: a) 4 sec b) 3 sec c) 2 sec d) 1 sec? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle moves along a straight line with a con- stant acceleration an average velocity of 8 m/sec, 6m/sec and 4m/sec for 1st 2sec, next 3 sec and next second respectively then the value oft is: a) 4 sec b) 3 sec c) 2 sec d) 1 sec?.
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