The problem describes an ice hockey player hitting a puck at a wall. The puck rebounds and comes to a stop. A distance-time graph illustrates the puck's journey, and we need to determine the total distance traveled by the puck.

1. Problem Description

The problem describes an ice hockey player hitting a puck at a wall. The puck rebounds and comes to a stop. A distance-time graph illustrates the puck's journey, and we need to determine the total distance traveled by the puck.

2. Solution Steps

The graph shows the distance of the puck from its starting point.

First, the puck travels from the starting point to the wall. From the graph, the maximum distance from the start is 35 m.

Next, the puck rebounds and travels back. The distance traveled back can be determined by subtracting the final distance from the wall (5 m) from the maximum distance from the wall (35 m). That is, $35 m - 5 m = 30 m$.

The total distance traveled by the puck is the sum of the distance to the wall and the distance back.

$Total Distance = Distance\, to\, wall + Distance\, back$

$Total Distance = 35 m + 30 m = 65 m$

3. Final Answer

65 m