### Extended Response

#### 1.2 The Scientific Methods

- Drive the car at exactly 50 mph and then press harder on the accelerator pedal until the velocity reaches the speed 60 mph and record the distance this takes.
- Drive the car at exactly 50 mph and then apply the brakes until it stops and record the distance this takes.
- Drive the car at exactly 50 mph and then apply the brakes until it stops and record the time it takes.
- Drive the car at exactly 50 mph and then apply the accelerator until it reaches the speed of 60 mph and record the time it takes.

- Testable hypotheses like the gravitational pull on each vehicle while in motion and the average speed of vehicles is 40 mph
- Non-testable hypotheses like the average number of vehicles passing is 935 per day and carbon emission from each of the moving vehicle

- Testable hypotheses like the average number of vehicles passing is 935 per day and the average speed of vehicles is 40 mph
- Non-testable hypotheses like the gravitational pull on each vehicle while in motion and the carbon emission from each of the moving vehicle

- Testable hypotheses like the average number of vehicles passing is 935 per day and the carbon emission from each of the moving vehicle
- Non-testable hypotheses like the gravitational pull on each vehicle while in motion and the average speed of the vehicles is 40 mph

- Testable hypotheses like the average number of vehicles passing is 935 per day and the gravitational pull on each vehicle while in motion
- Non-testable hypotheses like the average speed of vehicles is 40 mph and the carbon emission from each of the moving vehicle

- Further testing would need to show it is a universally followed rule.
- The observation would have to be described in a published scientific article.
- The experiment would have to be repeated once or twice.
- The observer would need to be a well-known scientist whose authority was accepted.

#### 1.3 The Language of Physics: Physical Quantities and Units

- 1.3\times10^{-9}\,\text{m};\,4.0\times10^{1}\,\text{km/million years}
- 1.3\times10^{-6}\,\text{m};\,4.0\times10^{1}\,\text{km/million years}
- 1.3\times10^{-9}\,\text{m};\,4.0\times10^{-11}\,\text{km/million years}
- 1.3\times10^{-6}\,\text{m};\,4.0\times10^{-11}\,\text{km/million years}

At x = 3, a function f(x) has a positive value, with a positive slope that is decreasing in magnitude with increasing x. Which option could correspond to f(x)?

- $y=13x$
- $y={x}^{2}$
- $y=2\text{log}\left(x\right)$
- $y=\frac{3}{x}$