A graph of Runner Velocity vs, Time has a horizontal axis labeled Time $(\theta)$ and a vertical axis labeled velocity $(\mathrm{m} / \mathrm{s})$, straight lines connect adjacent points, which have approximate values as follows. $(0,0),(2,6),(4,12),(6,12),(6,12)$, and $(10,12)$.
(b) What is his instantaneous velocity (in $\mathrm{m} / \mathrm{s}$ ) at $t=6$ ? $\times \mathrm{m} / \mathrm{s}$
Answer
Final Answer: The instantaneous velocity at $t=6$ is \(\boxed{12 \, m/s}\).
Step 1 ：A graph of Runner Velocity vs Time has a horizontal axis labeled Time $(\theta)$ and a vertical axis labeled velocity $(\mathrm{m} / \mathrm{s})$, straight lines connect adjacent points, which have approximate values as follows. $(0,0),(2,6),(4,12),(6,12),(6,12)$, and $(10,12)$.
Step 2 ：The instantaneous velocity at a given time can be found directly from the velocity-time graph. It is simply the value of the velocity at that time.
Step 3 ：From the given points, we can see that at $t=6$, the velocity is $12 \, m/s$.
Step 4 ：Final Answer: The instantaneous velocity at $t=6$ is \(\boxed{12 \, m/s}\).
