Initial Conditions
To analyze the motion of the particle projected vertically upward with an initial velocity of 25 m/s, we need to consider the effects of gravity. The acceleration due to gravity (g) is approximately 9.8 m/s² downward.
Understanding Motion in the Third Second
The motion of the particle can be divided into three distinct phases:
- First second (0s to 1s): The particle travels upward, slows down due to gravity, and reaches its peak.
- Second second (1s to 2s): The particle continues to rise until it reaches its maximum height (at approximately 2.55 seconds) and then begins to descend.
- Third second (2s to 3s): This is the phase of interest.
Key Points for the Third Second
- Time Interval: The third second refers to the time between 2 seconds and 3 seconds of the particle's flight.
- Velocity at Start of Third Second: At the start of the third second (t = 2s), the particle's velocity can be calculated using the equation:
Velocity = Initial Velocity - (g * time)
- Max Height: The particle will reach its maximum height before completing the third second. After reaching the peak, it starts to descend.
- Average Velocity: During the third second, the average velocity can be found by considering the velocities at the beginning and end of this interval.
Conclusion
In summary, during the third second, the particle is expected to move downward after reaching its maximum height, with decreasing velocity until it reaches a point of zero velocity momentarily at max height before descending further.