Average Amplitude of Waves
from 2009 to 2011
A structural engineer is using this table to design a wall
to protect a city near the ocean.
How high should the engineer build the wall?
Average Amplitude
(meters)
50 meters
O 100 meters
150 meters
200 meters
2009
2010
Year
2011
2012

The velocity is greatest at B.

Explanation:

The velocity or instantaneous rate of change is represented on a sketch by the slope of the position curve at a point.

Analyzing the points.

The slope at points F or D have slope as 0, since we have flat tangent lines for them.

The slope for point E is negative, since the curve is decreasing.

The slope for point B is positive, since the curve is increasing at B.

Thus the greatest value of the velocity is point B due the curve is increasing at that point, and the velocity is represented by its slope.