2.3.10: The rope holding cargo on a hot-air balloon is cut
- Page ID
- 63923
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Exercise \(\PageIndex{}\) The rope holding cargo on a hot-air balloon is cut
At \(t = 10\text{ s}\), the rope holding cargo on a hot-air balloon is cut and the cargo is in free fall (position is given in meters and time is given in seconds). The table gives you the coordinates of the cargo. Restart.
- What is the velocity of the cargo before the rope is cut?
- At what instant does the cargo reach its maximum height? Calculate \(t\) and compare it to what you measure in the animation (to the nearest \(0.05\text{ s}\)).
- What is the maximum height (relative to the ground) reached by the cargo? Calculate this height and compare it to what you measure in the animation.
- Calculate the instantaneous velocity of the cargo at the instant (just before) it hits the ground.
Problem authored by Aaron Titus.