1. A surfer paddles out past breaking waves, rides a
wave, paddles back out past the breaking waves,
rides another wave back to the beach. Draw a
sketch of a graph (with labels) that shows the
surfer’s possible distance from the beach over time.
Here is a sketch of a graph that shows the surfer's possible distance from the beach over time:
Distance from Beach
^
|
| /\
| / \
|---/----\--/-----------------------------> Time
A B C
In this graph:
- Point A represents the surfer paddling out past the breaking waves initially.
- Point B represents the surfer riding a wave towards the beach.
- Point C represents the surfer paddling back out past the breaking waves for another wave.
The surfer's distance from the beach increases as they paddle out (from A to B), decreases as they ride the wave towards the beach (from B to C), and then increases again as they paddle back out (from C to A). The pattern repeats as the surfer rides multiple waves.