The average speed of the bike between 2 and 4 seconds is 18 feet per second. Calculated by dividing the difference in distance (36 feet) by the difference in time (2 seconds), it reflects the rate of change in position during that interval.
To find the average speed between 2 and 4 seconds, you can use the formula for average speed:
\[ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} \]
For this specific case:
1. **Total Distance:** The difference in distance between 4 and 2 seconds is \(48 - 12 = 36\) feet.
2. **Total Time:** The difference in time between 4 and 2 seconds is \(4 - 2 = 2\) seconds.
Now, apply the formula:
\[ \text{Average Speed} = \frac{36 \, \text{feet}}{2 \, \text{seconds}} \]
\[ \text{Average Speed} = 18 \, \text{feet per second} \]
Therefore, the correct answer is c. 18 feet per second.
The probable question may be:
The table shows the relationship between the time traveled in seconds, t, and the distance traveled in feet, f, for a bike rider accelerating down a hill. t(sec)= 0,1,2,3,4,5 f(feet)= 0,3,12,27,48,75 What is the average speed of the bike between 2 seconds and 4 seconds? a. 6 feet per second b. 9 feet per second c. 18 feet per second d. 36 feet per second