Answer:
a) The jumper opens the parachute in 7.5 seconds.
b) The jumper opens the parachute in approximately 7.706 seconds.
c) There are two possible choices for the function:
Case a):
, ![Ran\{h(t)\}=[1000\,ft,1900\,ft]](https://tex.z-dn.net/?f=Ran%5C%7Bh%28t%29%5C%7D%3D%5B1000%5C%2Cft%2C1900%5C%2Cft%5D)
Case b):
, ![Ran\{h(t)\}=[950\,ft,1900\,ft]](https://tex.z-dn.net/?f=Ran%5C%7Bh%28t%29%5C%7D%3D%5B950%5C%2Cft%2C1900%5C%2Cft%5D)
Step-by-step explanation:
Note: The equation presented in statement is incorrect. The correct formula for free fall is:
(1)
Where:
- Time, measured in seconds.
- Height above the ground, measured in feet.
a) If we know that
, then the final instant of the free fall stage is:



The jumper opens the parachute in 7.5 seconds.
b) How long is the jumper in free fall if the parachute opens at 950 ft?
If we know that
, then the final instant of the free fall stage is:



The jumper opens the parachute in approximately 7.706 seconds.
c) There are two possible choices for the function:
Case a):
, ![Ran\{h(t)\}=[1000\,ft,1900\,ft]](https://tex.z-dn.net/?f=Ran%5C%7Bh%28t%29%5C%7D%3D%5B1000%5C%2Cft%2C1900%5C%2Cft%5D)
Case b):
, ![Ran\{h(t)\}=[950\,ft,1900\,ft]](https://tex.z-dn.net/?f=Ran%5C%7Bh%28t%29%5C%7D%3D%5B950%5C%2Cft%2C1900%5C%2Cft%5D)