From the details provided, we can analyze the situation involving the toy rocket.
The graph indicates that the height \( h \) of the rocket (in feet) is plotted against time \( t \) (in seconds). The given points include:
- At \( t = 0 \): \( h = 680 \) feet (the height at launch)
- At \( t = 1.75 \): \( h = 729 \) feet (the maximum height reached)
- At \( t = 8.5 \): \( h = 0 \) feet (the height when the rocket hits the ground)
According to the data, the rocket hits the ground at 8.5 seconds after launch.
Thus, the answer to the question is:
8.5 seconds.