Subjects physics

Velocity 3.5S 1C4D1E

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1. **State the problem:** We need to find the velocity at $3.5$ seconds from the given graphs. 2. **Identify the relevant graph:** Velocity is the rate of change of displacement with respect to time. The displacement graph is shown in Figure 7.2. 3. **Analyze the displacement graph at $3.5$ seconds:** From the description, displacement is constant from $0$ to $3$ seconds at $30$ m, then it decreases linearly from $3$ to $8$ seconds down to $0$ m. 4. **Calculate the velocity between $3$ and $8$ seconds:** Velocity is the slope of the displacement-time graph. The slope $v = \frac{\Delta \text{displacement}}{\Delta \text{time}} = \frac{0 - 30}{8 - 3} = \frac{-30}{5} = -6$ m/s. 5. **Interpretation:** At $3.5$ seconds, which lies between $3$ and $8$ seconds, the velocity is constant and equals $-6$ m/s. 6. **Final answer:** $$\boxed{v(3.5) = -6 \text{ m/s}}$$ This means the object is moving north to south (negative displacement direction) at $6$ meters per second at $3.5$ seconds.