Sure! Let's break down the problem and solve it step by step.
1. Calculate Velocity for the First Interval:
- Distance covered in the first 2 seconds is 200 cm.
- Time taken is 2 seconds.
- Velocity for the first interval (v1) = Distance / Time = 200 cm / 2 s = 100 cm/s.
2. Calculate Velocity for the Second Interval:
- Distance covered in the next 4 seconds is 220 cm.
- Time taken is 4 seconds.
- Velocity for the second interval (v2) = Distance / Time = 220 cm / 4 s = 55 cm/s.
3. Determine Total Time by the End of Second Interval:
- Total time = time of the first interval + time of the second interval = 2 s + 4 s = 6 seconds.
4. Calculate the Distance Covered in the First 6 Seconds:
- Distance covered in the first 2 seconds = 200 cm.
- Distance covered in the next 4 seconds = 220 cm.
- Total distance covered in the first 6 seconds = 200 cm + 220 cm = 420 cm.
5. Assume Constant Velocity After the Second Interval:
- The velocity after the second interval remains constant at 55 cm/s (since the second interval's velocity was 220 cm in 4 seconds).
6. Determine the Time Remaining to Reach the 7th Second:
- To find the seventh second, we need to consider the time after the first 6 seconds.
- Remaining time = 7 seconds - 6 seconds = 1 second.
7. Calculate the Distance Covered in the Remaining Time:
- Distance covered in the remaining time of 1 second at the constant velocity (55 cm/s) = Velocity Time = 55 cm/s 1 s = 55 cm.
8. Calculate the Total Distance Covered by the End of the 7th Second:
- Total distance covered by the end of 7th second = Distance covered in the first 6 seconds + Distance covered in the remaining 1 second = 420 cm + 55 cm = 475 cm.
9. Determine the Velocity at the End of the 7th Second:
- Since we assumed the velocity remains constant as 55 cm/s after the second interval, the velocity at the end of the seventh second is also 55 cm/s.
So, the velocity at the end of the seventh second is 55 cm/s.
