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A body moving with uniform acceleration has a velocity of –11 cm/s when its x coordinate is 3.00 cm. If its x coordinate 2 s later is – 5 cm, what is the magnitude in cm/s2 of its acceleration? KO0006?
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A body moving with uniform acceleration has a velocity of –11 cm/s whe...
Given:
Formula:
Solution:
Explanation:
- Initial velocity (u) = -11 cm/s
- Initial position (x0) = 3.00 cm
- Final position (x) = -5 cm
- Time taken (t) = 2 s
Formula:
- Acceleration (a) = (v - u)/t
- Final velocity (v)² = u² + 2a(x - x0)
Solution:
- Using the first formula, acceleration can be calculated as:
- a = (v - u)/t
- a = (-5 - (-11))/2
- a = 3 cm/s²
- Using the second formula, final velocity can be calculated as:
- v² = u² + 2a(x - x0)
- v² = (-11)² + 2(3)(-5 - 3)
- v² = 121 - 48
- v = -7 cm/s
- Therefore, the magnitude of acceleration is 3 cm/s².
Explanation:
- The problem involves a body moving with uniform acceleration, which means that the acceleration is constant over time.
- The initial velocity and position are given, and the final position is also known after a certain amount of time.
- To find the acceleration, we use the formula a = (v - u)/t, where v is the final velocity, u is the initial velocity, and t is the time taken.
- To find the final velocity, we use the formula v² = u² + 2a(x - x0), where x is the final position, x0 is the initial position, and a is the acceleration.
- By solving the two equations for acceleration and final velocity, we can find the required values.
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A body moving with uniform acceleration has a velocity of –11 cm/s when its x coordinate is 3.00 cm. If its x coordinate 2 s later is – 5 cm, what is the magnitude in cm/s2 of its acceleration? KO0006?
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A body moving with uniform acceleration has a velocity of –11 cm/s when its x coordinate is 3.00 cm. If its x coordinate 2 s later is – 5 cm, what is the magnitude in cm/s2 of its acceleration? KO0006? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A body moving with uniform acceleration has a velocity of –11 cm/s when its x coordinate is 3.00 cm. If its x coordinate 2 s later is – 5 cm, what is the magnitude in cm/s2 of its acceleration? KO0006? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body moving with uniform acceleration has a velocity of –11 cm/s when its x coordinate is 3.00 cm. If its x coordinate 2 s later is – 5 cm, what is the magnitude in cm/s2 of its acceleration? KO0006?.
A body moving with uniform acceleration has a velocity of –11 cm/s when its x coordinate is 3.00 cm. If its x coordinate 2 s later is – 5 cm, what is the magnitude in cm/s2 of its acceleration? KO0006? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A body moving with uniform acceleration has a velocity of –11 cm/s when its x coordinate is 3.00 cm. If its x coordinate 2 s later is – 5 cm, what is the magnitude in cm/s2 of its acceleration? KO0006? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body moving with uniform acceleration has a velocity of –11 cm/s when its x coordinate is 3.00 cm. If its x coordinate 2 s later is – 5 cm, what is the magnitude in cm/s2 of its acceleration? KO0006?.
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