The position of a car is given by the values in the following table. (seconds) 0
1
2
3
4 (meters)
0
21)7
26)8
62)4
86)5
Find the average velocity for the time period beginning when and lasting 2 seconds.
A) ft/s
B) ft/s
C)29.85 ft/s
D)33.5 ft/s
E) ft/s

Question

The position of a car is given by the values in the following table.  (seconds) 0
1
2
3
4  (meters)
0
21)7
26)8
62)4
86)5
Find the average velocity for the time period beginning when  and lasting 2 seconds.
A) ft/s 
B) ft/s 
C)29.85 ft/s 
D)33.5 ft/s 
E) ft/s

Quizplus · Accepted Answer

To find the average velocity, we need to find the total displacement over the given time interval and divide by the time interval.

The time interval is 2 seconds, starting from t=1.

At t=1, the position is 21.7meters.

After 2 seconds, at t=3, the position is 62.4 meters.

So, the displacement over the time interval is:

62.4 meters - 21.7 meters = 40.7 meters

The average velocity is:

Average velocity = Displacement / Time Interval
                  = 40.7 meters / 2 seconds
                  = 20.35 m/s
                  = 29.85 ft/s (converting from meters to feet)

Therefore, the answer is C, 29.85 ft/s.

The Position of a Car Is Given by the Values