Velocity Reciprocals
1. The problem gives various quantities such as time, acceleration, velocities, and requests answers. We need to clarify what is asked; since the user says "Give me the answer," we'll interpret the main question as finding 1/v for velocities $v_1$, $v_2$, and $v_3$ where $v_3=600$ m/s, $v_1=200$ m/s, and $v_2=5$ m/s, converting units as needed.
2. Given velocities:
- $v_1 = 200$ m/s
- $v_2 = 5$ m/s
- $v_3 = 600$ m/s
3. Calculate the reciprocals:
$$\frac{1}{v_1} = \frac{1}{200} = 0.005$$
$$\frac{1}{v_2} = \frac{1}{5} = 0.2$$
$$\frac{1}{v_3} = \frac{1}{600} \approx 0.001667$$
4. Other given velocities or measurements like $0.5s$, $5$ m/s$^2$, $10$ m/s, $75$ km/h are mentioned but not directly linked to the final question, which is focused on the reciprocals of $v_1$, $v_2$, $v_3$.
5. Note that 75 km/h converts to:
$$ 75 \text{ km/h} = 75 \times \frac{1000}{3600} = 20.833\ \text{m/s} $$
6. This conversion is mentioned for completeness but not directly required for reciprocals.
Final answers:
$$\frac{1}{v_1} = 0.005\,s/m$$
$$\frac{1}{v_2} = 0.2\,s/m$$
$$\frac{1}{v_3} \approx 0.001667\,s/m$$