To determine the velocity of the body at the end of the seventh second from the start, we need to follow a systematic approach. Here is a detailed step-by-step solution:
1. Identify the total distance traveled:
- The body travels 200 cm during the first 2 seconds.
- The body then travels 220 cm during the next 5 seconds.
Thus, the total distance traveled by the body is:
[tex]\[
\text{Total Distance} = 200 \, \text{cm} + 220 \, \text{cm} = 420 \, \text{cm}
\][/tex]
2. Calculate the total time taken:
- The time taken for the first section of the journey is 2 seconds.
- The time taken for the next section of the journey is 5 seconds.
Therefore, the total time taken by the body is:
[tex]\[
\text{Total Time} = 2 \, \text{s} + 5 \, \text{s} = 7 \, \text{s}
\][/tex]
3. Determine the average velocity:
- Velocity is defined as the total displacement divided by the total time taken.
Thus, the velocity is:
[tex]\[
\text{Velocity} = \frac{\text{Total Distance}}{\text{Total Time}} = \frac{420 \, \text{cm}}{7 \, \text{s}} = 60 \, \text{cm/s}
\][/tex]
So, the velocity of the body at the end of the seventh second from the start is [tex]\(60 \, \text{cm/s}\)[/tex].
Therefore, the final result is:
[tex]\[
\text{Velocity at the end of the seventh second} = 60 \, \text{cm/s}
\][/tex]
