Table B correctly records the initial and final conditions for speed and velocity as the car doubles its speed while traveling northeast, maintaining consistency between the scalar speed and vector velocity quantities.
The correct table is Option B:
B. **Initial and Final Conditions**
- **Speed:** Initial 8.0 m/s northeast, Final 16.0 m/s northeast
- **Velocity:** Initial 8.0 m/s northeast, Final 16.0 m/s northeast
This choice accurately reflects the scenario where the car initially travels at 8.0 m/s northeast and doubles its speed to 16.0 m/s while maintaining a northeast direction. In physics, speed is a scalar quantity, representing the magnitude of velocity. Velocity, on the other hand, is a vector quantity that includes both speed and direction. The given table appropriately differentiates between speed and velocity, providing consistent values for both initial and final conditions.