Final answer:
To determine the average speed of the dragster, convert the distance from meters to miles and calculate the time it took. Divide the distance by the time to find the average speed in mi/hr. Convert the average speed from mi/hr to m/s using the appropriate conversion factor.
Step-by-step explanation:
To determine the average speed of the dragster, we first need to convert the distance from meters to miles. As given, the dragster covered a distance of 402 m, which is very close to one quarter of a mile. So, we can assume the distance to be 0.25 miles.
Next, we need to calculate the time it took for the dragster to complete the race. Given that the record time was 4.437 seconds, we can convert this to hours by dividing by 3600 seconds. This gives us a time of approximately 0.001238 hours.
Finally, we can calculate the average speed by dividing the distance (0.25 miles) by the time (0.001238 hours). This gives us an average speed of 201.76 mi/hr. To calculate the speed in m/s, we can convert the average speed using the conversion factor of 1 mile = 1609.34 meters. Therefore, the average speed of the dragster is approximately 90.20 m/s.