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A particle starts from a point with a velocity of 6m/s and moves with an acceleration of -2m/s².show that the particle will be at the starting point after 6second?
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A particle starts from a point with a velocity of 6m/s and moves with ...
To determine whether a particle will return to the starting point after 6 seconds, we can use the equation of motion for uniformly accelerated motion:
x = x0 + v0t + (1/2)at^2
where x is the final position, x0 is the initial position (which is 0 in this case), v0 is the initial velocity (6 m/s), a is the acceleration (-2 m/s�), and t is the time (6 s).
Plugging in the given values, we get:
x = 0 + (6 m/s)(6 s) + (1/2)(-2 m/s�)(6 s)^2
x = 0 + 36 m + (-18 m)
x = -18 m
The particle will be 18 meter away from the starting point after 6 seconds.
This question is part of UPSC exam. View all Class 9 courses
Most Upvoted Answer
A particle starts from a point with a velocity of 6m/s and moves with ...
Proof that the particle will be at the starting point after 6 seconds:
Given data:
- Initial velocity (u) = 6 m/s
- Acceleration (a) = -2 m/s²
- Time (t) = 6 seconds
Calculating the final velocity:
We know the formula for calculating final velocity (v) using initial velocity, acceleration, and time:
v = u + at
Substitute the given values into the formula:
v = 6 + (-2 * 6)
v = 6 - 12
v = -6 m/s
Calculating the displacement:
Next, we can calculate the displacement using the formula:
s = ut + (1/2)at²
Substitute the values of u, t, and a into the formula:
s = 6*6 + (1/2)(-2)(6)²
s = 36 - 36
s = 0 m
Conclusion:
Since the displacement is 0 meters, it means that the particle will be at the starting point after 6 seconds. The negative sign in the final velocity indicates that the particle has moved in the opposite direction of its initial motion and has come back to the starting point.
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A particle starts from a point with a velocity of 6m/s and moves with an acceleration of -2m/s².show that the particle will be at the starting point after 6second?
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A particle starts from a point with a velocity of 6m/s and moves with an acceleration of -2m/s².show that the particle will be at the starting point after 6second? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A particle starts from a point with a velocity of 6m/s and moves with an acceleration of -2m/s².show that the particle will be at the starting point after 6second? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle starts from a point with a velocity of 6m/s and moves with an acceleration of -2m/s².show that the particle will be at the starting point after 6second?.
A particle starts from a point with a velocity of 6m/s and moves with an acceleration of -2m/s².show that the particle will be at the starting point after 6second? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A particle starts from a point with a velocity of 6m/s and moves with an acceleration of -2m/s².show that the particle will be at the starting point after 6second? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle starts from a point with a velocity of 6m/s and moves with an acceleration of -2m/s².show that the particle will be at the starting point after 6second?.
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