OHST Practice Exam

A motorcycle traveling at 45 mph will cover how many meters during a driver's reaction time of 0.75 seconds?

1. 15 meters

2. 25 meters

3. 18 meters

4. 50 meters

The correct answer is: 15 meters

To determine how many meters a motorcycle traveling at 45 mph would cover during a driver's reaction time of 0.75 seconds, we first need to convert the speed from miles per hour (mph) to meters per second (m/s). 1. **Conversion of Speed**: - 1 mile is approximately 1609.34 meters. - 1 hour is 3600 seconds. - Therefore, to convert 45 mph to meters per second, the formula is: \[ \text{Speed in m/s} = \text{Speed in mph} \times \frac{1609.34 \text{ meters}}{1 \text{ mile}} \times \frac{1 \text{ hour}}{3600 \text{ seconds}} \] - Plugging in the numbers: \[ 45 \times \frac{1609.34}{3600} \approx 20.12 \text{ m/s} \] 2. **Distance Calculated Using Reaction Time**: - To find out how far the motorcycle travels during the 0.75 seconds of reaction time, we use the equation: \[ \text{