Question

What is the average speed of a car between 20 seconds and 80 seconds, given the following distance-time data:

Time (seconds): 1, 20, 40, 80
Distance (meters): 5, 10, 15, 25+

Calculate the average speed of the car during this time interval."

Answer 1

The average speed of the car between 20 seconds and 80 seconds is 0.917 meters per second. Converted to km/h, the average speed is 0.2547 km/h.

Step-by-step explanation:

To calculate the average speed of a car between 20 seconds and 80 seconds, we need to find the total distance traveled and the total time taken during this interval. The given distance-time data shows that the car traveled 5 meters at 1 second, 10 meters at 20 seconds, 15 meters at 40 seconds, and 25+ meters at 80 seconds.

Using this data, we can calculate the total distance traveled by adding up the individual distances: 5 + 10 + 15 + 25 = 55 meters.

Similarly, we can calculate the total time taken by subtracting the starting time from the ending time: 80 - 20 = 60 seconds.

Now, we can use the formula average speed (Vavg) = distance / time to find the average speed of the car. Plugging in the values, we get Vavg = 55 meters / 60 seconds = 0.917 meters per second.

To convert this speed to km/h, we multiply by the appropriate conversion factor. Since 1 km = 1000 meters and 1 hour = 3600 seconds, the conversion factor is 1000/3600 = 0.2778.

Therefore, the average speed of the car between 20 seconds and 80 seconds is 0.917 * 0.2778 = 0.2547 km/h.