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Answer :
Final answer:
Jerald is less than 104 feet above the ground for t > 6.25
Explanation:
The height of Jerald's jump can be modeled by the equation h = -16t^2 + 729, where h is the height in feet and t is the time in seconds. To find the interval of time for which he is less than 104 feet above the ground, we need to solve the inequality -16t^2 + 729 < 104.
Start by subtracting 104 from both sides to get -16t^2 + 625 < 0.
Next, we can factor the quadratic equation as (-4t + 25)(4t - 25) < 0.
This inequality is true when either -4t + 25 < 0 and 4t - 25 > 0, or -4t + 25 > 0 and 4t - 25 < 0.
Solving these inequalities will give us two intervals:
- When -4t + 25 < 0 and 4t - 25 > 0: t > 25/4 or t > 6.25
- When -4t + 25 > 0 and 4t - 25 < 0: t < 25/4 or t < 6.25
So, the interval of time for which Jerald is less than 104 feet above the ground is t > 6.25.
Learn more about Jerald's height during bungee jump here:
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