5. The table shows Usain Bolt's split times from his world record 100 m run in Berlin in 2009. Each split time is for a 10 m section of the 100 m distance. The time for the first 10 m includes his reaction time of 0.146 s before he left his blocks.

\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|}
\hline
Section (m) & 0-10 & 10-20 & 20-30 & 30-40 & 40-50 & 50-60 & 60-70 & 70-80 & 80-90 & 90-100 \\
\hline
Time (s) & 1.89 & 0.99 & 0.90 & 0.86 & 0.83 & 0.82 & 0.81 & 0.82 & 0.83 & 0.83 \\
\hline
\end{tabular}

Calculate the time that Usain Bolt takes to run the first 10 meters from the moment he starts moving. [1]



Answer :

To find the time Usain Bolt takes to run the first 10 meters from the moment he starts moving, we need to subtract his reaction time from the total time it took for him to complete the first 10 meters.

1. Total time for the first 10 meters: According to the table, Usain Bolt's total time for the first 10 meters is 1.89 seconds.

2. Reaction time: The reaction time given is 0.146 seconds, which is the time taken before he actually starts moving.

3. Actual running time for the first 10 meters: We subtract his reaction time from the total time.

[tex]\[ \text{Running time for the first 10 meters} = \text{Total time for the first 10 meters} - \text{Reaction time} \][/tex]

Substituting the values:

[tex]\[ \text{Running time for the first 10 meters} = 1.89 \, \text{seconds} - 0.146 \, \text{seconds} \][/tex]

[tex]\[ \text{Running time for the first 10 meters} = 1.744 \, \text{seconds} \][/tex]

Therefore, Usain Bolt takes 1.744 seconds to run the first 10 meters from the moment he starts moving.