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The velocity of the particle at any instant is 10m/s. after 3 seconds the velocity will. be 16 m/s. at the time 2 second the velocity will be?
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The velocity of the particle at any instant is 10m/s. after 3 seconds ...
Understanding Velocity Change
To determine the velocity of the particle at the 2-second mark, we first need to establish the change in velocity over the given time period.
Initial Information
- Initial velocity (t=0): 10 m/s
- Velocity after 3 seconds (t=3): 16 m/s
Calculating Acceleration
1. Change in Velocity:
- Change in velocity = Final velocity - Initial velocity
- Change in velocity = 16 m/s - 10 m/s = 6 m/s
2. Time Interval:
- Time interval = 3 seconds
3. Acceleration:
- Acceleration = Change in velocity / Time interval
- Acceleration = 6 m/s / 3 s = 2 m/s²
Finding Velocity at t=2 seconds
Now, we can find the velocity at 2 seconds using the established acceleration.
1. Time Elapsed:
- Time elapsed from the start to 2 seconds = 2 seconds
2. Calculating Velocity:
- Change in velocity after 2 seconds = Acceleration × Time elapsed
- Change in velocity = 2 m/s² × 2 s = 4 m/s
3. Final Velocity at t=2 seconds:
- Velocity at t=2 seconds = Initial velocity + Change in velocity
- Velocity at t=2 seconds = 10 m/s + 4 m/s = 14 m/s
Conclusion
Therefore, the velocity of the particle at the 2-second mark will be 14 m/s. This process illustrates how to calculate the velocity at any given time using initial conditions and acceleration.
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The velocity of the particle at any instant is 10m/s. after 3 seconds the velocity will. be 16 m/s. at the time 2 second the velocity will be?
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