Constant Acceleration and Free Fall Problem

AI Thread Summary
A package is dropped from a helicopter moving upward at 10.0 m/s, and it takes 3.5 seconds to reach the ground. The helicopter was approximately 25.025 meters high at the time of release and is 60.025 meters above the ground when the package lands. The maximum height the package reaches after being released is debated, with one calculation suggesting 30.227 meters and another using g = 9.81 yielding 29.9 meters. The discussion includes the use of graphs to analyze motion, but there are slight discrepancies in the final height calculations. Clarification on the maximum height reached by the package is sought.
cheerspens
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1. Homework Statement
A package is dropped from a helicopter. Note that both the helicopter and package are traveling upward at 10.0m/s when the package is released. If the package takes 3.5 seconds to hit the ground, how high was the helicopter when the package was released?
If the helicopter's velocity does no change, how far above the ground will the helicopter be located when the package hits the ground?
What is the maximum height above the ground that this package reaches after it was released by the helicopter?

2. Homework Equations




3. The Attempt at a Solution
So far I've tried to answer the first two questions question and got that the helicopter was 25.025m high when the package was released and was 60.025m above the ground when the package hit the ground.

I made an x vs. t graph, a v vs. t graph, and an a vs. t graph to help with solving these as well.

So for the last question:
"What is the maximum height above the ground that this package reaches after it was released by the helicopter?"

Would the answer be 30.227m?

Thanks for your help!
 
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All correct, I think. I get slightly different answers using g = 9.81 (29.9 for the last part).
 
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