Problem

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 $t=6$ ? $\times \mathrm{m} / \mathrm{s}$

Solution

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 \(\boxed{12 \, m/s}\).

From Solvely APP
Source: https://solvelyapp.com/problems/16894/

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