Final answer:
The stopping distance for a car traveling at 50 mph on dry surfaces cannot be accurately determined without additional information such as the deceleration rate. While references usually provide data for a car traveling at a different speed, an adjustment would be needed for 50 mph, which isn't feasible based on the details given in the question.
Step-by-step explanation:
To determine the stopping distance for a car traveling at 50 mph on a dry surface, we consider both the driver's reaction time and the actual braking distance. The braking distance depends on factors such as the car's speed, the road condition, and the vehicle's braking capability. It's important to note that the initial velocity before braking is crucial in this calculation.
Since most references for stopping distances provide information based on a car traveling at 30.0 m/s (which is equivalent to approximately 67 mph), we would need to adjust these values for a car traveling at 50 mph. However, the details provided are not sufficient to precisely calculate the stopping distance for 50 mph without additional information such as the deceleration rate.
Given this limitation, we can roughly estimate that the stopping distance at 50 mph on dry pavement might be less than what would be required for a speed of 67 mph. Nonetheless, without the exact deceleration rate of the car or empirical data from an experiment (as described where one drives at 50 mph and uses the brakes until the vehicle stops), we can't provide an accurate answer for the choices given (102 feet, 247 feet, 343 feet, or 53 feet).