The distance traveled, in meters, of a coin dropped from a tall building is modeled by the equation d(t) = 4.9t2 where d equals the distance traveled at time t seconds and t equals the time in seconds. What does the average rate of change of d(t) from t = 3 to t = 6 represent?

The coin travels an average distance of 44.1 meters from 3 seconds to 6 seconds.

The coin falls down with an average speed of 14.7 meters per second from 3 seconds to 6 seconds.

The coin falls down with an average speed of 44.1 meters per second from 3 seconds to 6 seconds.

Question

The distance traveled, in meters, of a coin dropped from a tall building is modeled by the equation d(t) = 4.9t2 where d equals the distance traveled at time t seconds and t equals the time in seconds. What does the average rate of change of d(t) from t = 3 to t = 6 represent?

 The coin travels an average distance of 44.1 meters from 3 seconds to 6 seconds.

 The coin falls down with an average speed of 14.7 meters per second from 3 seconds to 6 seconds.

 The coin falls down with an average speed of 44.1 meters per second from 3 seconds to 6 seconds.

anonymous · Answer

The coin travels an average distance of 14.7 meters from 3 seconds to 6 seconds.

anonymous · Answer

@phi @hero

phi · Answer

average rate of change of d(t) ? from t = 3 to t = 6

change in distance over change in time

does that sound familiar?  distance/time
people call that speed.

so you should expect the answer to be related to speed

phi · Answer

to figure out the average speed you need to use the formula to find how far the coin fell between t=3 and t=6
then divide by 3 seconds  (change in time is 6-3 = 3 seconds)
to get the speed