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A body starts from rest and travels for t second with uniform acceleration of 2 m/s². If the displacement made by it is 16 m, the time of travel t is?
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A body starts from rest and travels for t second with uniform accelera...
Understanding the Problem
To find the time of travel (t) for a body that starts from rest with a uniform acceleration of 2 m/s² and covers a displacement of 16 m, we can use the equations of motion.
Key Information
- Initial velocity (u) = 0 m/s (starts from rest)
- Acceleration (a) = 2 m/s²
- Displacement (s) = 16 m
Using the Equation of Motion
The equation that relates displacement, initial velocity, time, and acceleration is:
s = ut + (1/2)at²
Since the initial velocity u = 0, the equation simplifies to:
s = (1/2)at²
Substituting the Values
Now substituting the known values:
16 = (1/2)(2)t²
Solving for Time (t)
- Simplifying the equation gives:
16 = t²
- Taking the square root of both sides:
t = √16
Final Calculation
Thus,
t = 4 seconds
Conclusion
The time of travel t for the body to cover a displacement of 16 m with a uniform acceleration of 2 m/s² is 4 seconds. This straightforward calculation helps in understanding basic kinematic principles essential for UPSC preparations.
To find the time of travel (t) for a body that starts from rest with a uniform acceleration of 2 m/s² and covers a displacement of 16 m, we can use the equations of motion.
Key Information
- Initial velocity (u) = 0 m/s (starts from rest)
- Acceleration (a) = 2 m/s²
- Displacement (s) = 16 m
Using the Equation of Motion
The equation that relates displacement, initial velocity, time, and acceleration is:
s = ut + (1/2)at²
Since the initial velocity u = 0, the equation simplifies to:
s = (1/2)at²
Substituting the Values
Now substituting the known values:
16 = (1/2)(2)t²
Solving for Time (t)
- Simplifying the equation gives:
16 = t²
- Taking the square root of both sides:
t = √16
Final Calculation
Thus,
t = 4 seconds
Conclusion
The time of travel t for the body to cover a displacement of 16 m with a uniform acceleration of 2 m/s² is 4 seconds. This straightforward calculation helps in understanding basic kinematic principles essential for UPSC preparations.
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A body starts from rest and travels for t second with uniform acceleration of 2 m/s². If the displacement made by it is 16 m, the time of travel t is?
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A body starts from rest and travels for t second with uniform acceleration of 2 m/s². If the displacement made by it is 16 m, the time of travel t is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A body starts from rest and travels for t second with uniform acceleration of 2 m/s². If the displacement made by it is 16 m, the time of travel t is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body starts from rest and travels for t second with uniform acceleration of 2 m/s². If the displacement made by it is 16 m, the time of travel t is?.
A body starts from rest and travels for t second with uniform acceleration of 2 m/s². If the displacement made by it is 16 m, the time of travel t is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A body starts from rest and travels for t second with uniform acceleration of 2 m/s². If the displacement made by it is 16 m, the time of travel t is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body starts from rest and travels for t second with uniform acceleration of 2 m/s². If the displacement made by it is 16 m, the time of travel t is?.
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