Question

elon sat on the dock with his fishing rod, when suddenly he felt the rod being pulled down! he reeled in his catch, causing it to ascend at a constant rate of 0.1 meters per second. when it reached the water’s surface after 35 seconds, elon found it was only an old shoe... graph the relationship between the shoes altitude (in meters relative to the waters surface) and time (in seconds). altitude (meters) 3 2 1 time (seconds) 5 10 15 20 25 30 35 40 45 50 55 60 -1 -2 -3

Explanation:

Step1: Determine initial position

The shoe ascends at 0.1 m/s for 35 s, so initial depth (altitude = -depth) is \( 0.1 \times 35 = 3.5 \) meters below surface? Wait, no—wait, when \( t = 35 \) s, altitude is 0 (water surface). Wait, maybe the graph's current points are wrong. Let's re-express: altitude \( y = 0.1t - 3.5 \)? Wait, no—when \( t = 35 \), \( y = 0 \): \( y = 0.1(t - 35) \). So at \( t = 0 \), \( y = -3.5 \) (3.5 m below). At \( t = 35 \), \( y = 0 \). The graph should be a line with slope 0.1, starting at (0, -3.5) and ending at (35, 0). But the given graph has horizontal line at y=2, which is incorrect. Wait, maybe the problem's graph is misdrawn, but to correct:

1. Identify the relationship: linear, \( y = 0.1t + b \). At \( t = 35 \), \( y = 0 \), so \( 0 = 0.1(35) + b \Rightarrow b = -3.5 \). So equation is \( y = 0.1t - 3.5 \).

1. Plot two points: (0, -3.5) and (35, 0). The line should have a positive slope (ascending) from (0, -3.5) to (35, 0).

Step2: Correct the graph

• The y-axis: altitude (meters relative to surface; negative below, positive above? Wait, no—when reeling in, it ascends from below to surface. So initial altitude (t=0) is \( -0.1 \times 35 = -3.5 \) m (3.5 m below). At t=35, altitude is 0. So the line should start at (0, -3.5) and go to (35, 0), with slope 0.1.

Answer:

The correct graph should be a straight line with a positive slope (0.1) connecting the points (0, -3.5) and (35, 0). The given graph (horizontal line at y=2) is incorrect; the correct line rises from (0, -3.5) to (35, 0).