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The velocity of a partical moving with constant acceleration at an instant t0 is 10m\s. after 5 second of that instant the velocity of the particle is 20m\s . the velocity at 3 second before t0 is?
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The velocity of a partical moving with constant acceleration at an ins...
Understanding the Problem
To determine the velocity of the particle 3 seconds before the time t0, we need to analyze the information given about the particle's motion.
Given Information
- Velocity at time t0 (V0) = 10 m/s
- Velocity after 5 seconds (V5) = 20 m/s
Constant Acceleration
Since the particle is moving with constant acceleration, we can apply the equation of motion that relates initial velocity, final velocity, acceleration, and time:
- V5 = V0 + a * t
Where:
- V5 = Final velocity after 5 seconds
- V0 = Initial velocity at t0
- a = Acceleration
- t = Time interval (5 seconds in this case)
Calculating Acceleration
Using the given values:
- 20 m/s = 10 m/s + a * 5 seconds
This leads to:
- a * 5 seconds = 20 m/s - 10 m/s
- a = 2 m/s²
Finding Velocity 3 Seconds Before t0
To find the velocity 3 seconds before t0 (V-3), we can again use the equation of motion:
- V-3 = V0 - a * t
Here:
- t = 3 seconds
Substituting the values:
- V-3 = 10 m/s - (2 m/s² * 3 seconds)
- V-3 = 10 m/s - 6 m/s
- V-3 = 4 m/s
Conclusion
The velocity of the particle 3 seconds before t0 is 4 m/s. This analysis illustrates the relationship between velocity, time, and acceleration in uniformly accelerated motion.
To determine the velocity of the particle 3 seconds before the time t0, we need to analyze the information given about the particle's motion.
Given Information
- Velocity at time t0 (V0) = 10 m/s
- Velocity after 5 seconds (V5) = 20 m/s
Constant Acceleration
Since the particle is moving with constant acceleration, we can apply the equation of motion that relates initial velocity, final velocity, acceleration, and time:
- V5 = V0 + a * t
Where:
- V5 = Final velocity after 5 seconds
- V0 = Initial velocity at t0
- a = Acceleration
- t = Time interval (5 seconds in this case)
Calculating Acceleration
Using the given values:
- 20 m/s = 10 m/s + a * 5 seconds
This leads to:
- a * 5 seconds = 20 m/s - 10 m/s
- a = 2 m/s²
Finding Velocity 3 Seconds Before t0
To find the velocity 3 seconds before t0 (V-3), we can again use the equation of motion:
- V-3 = V0 - a * t
Here:
- t = 3 seconds
Substituting the values:
- V-3 = 10 m/s - (2 m/s² * 3 seconds)
- V-3 = 10 m/s - 6 m/s
- V-3 = 4 m/s
Conclusion
The velocity of the particle 3 seconds before t0 is 4 m/s. This analysis illustrates the relationship between velocity, time, and acceleration in uniformly accelerated motion.
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The velocity of a partical moving with constant acceleration at an instant t0 is 10m\s. after 5 second of that instant the velocity of the particle is 20m\s . the velocity at 3 second before t0 is?
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The velocity of a partical moving with constant acceleration at an instant t0 is 10m\s. after 5 second of that instant the velocity of the particle is 20m\s . the velocity at 3 second before t0 is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The velocity of a partical moving with constant acceleration at an instant t0 is 10m\s. after 5 second of that instant the velocity of the particle is 20m\s . the velocity at 3 second before t0 is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The velocity of a partical moving with constant acceleration at an instant t0 is 10m\s. after 5 second of that instant the velocity of the particle is 20m\s . the velocity at 3 second before t0 is?.
The velocity of a partical moving with constant acceleration at an instant t0 is 10m\s. after 5 second of that instant the velocity of the particle is 20m\s . the velocity at 3 second before t0 is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The velocity of a partical moving with constant acceleration at an instant t0 is 10m\s. after 5 second of that instant the velocity of the particle is 20m\s . the velocity at 3 second before t0 is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The velocity of a partical moving with constant acceleration at an instant t0 is 10m\s. after 5 second of that instant the velocity of the particle is 20m\s . the velocity at 3 second before t0 is?.
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