Answer
See explanation
Work Step by Step
When you swing, your height from the ground goes up and down in a smooth, repeating (oscillating) pattern.
Over time, air resistance and friction cause you to slow down — your swings become smaller until you stop at the lowest point.
What the graph looks like:
Let:$t=$ time, $h=$ height above the ground
The graph of $h$ vs $t$ will look like a damped sine wave — a wave that gradually flattens out.
Labels on the graph:
Peaks: Highest points of swing
Valleys: Lowest point passing through center
Amplitude decreasing: Swing slowing down
Final flat line: Swing stopped
b) Now, instead of slowing to a stop: you still move up and down for a while, but at some point (when you jump), your height suddenly increases (as you lift off) — then quickly drops to zero (as you hit the ground).
How the graph changes: it still looks like the oscillating curve at the beginning, but instead of tapering smoothly to a flat line, the graph suddenly breaks off when you jump:
It rises to a final peak (as you leap off the swing), then falls sharply to ground level (height = 0).
