A camera is accidentally dropped from a helicopter at a height of 4,096 ft. If the equation for height as a function of time is h(t) = -16t2 + initial height where t is time in seconds and h(t) is height in feet, how many seconds will it take for the camera to hit the ground? %3D [?] seconds
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![### Problem Statement
**Scenario:**
A camera is accidentally dropped from a helicopter at a height of 4,096 ft.
**Given Data:**
The equation for height as a function of time \( h(t) \) is:
\[ h(t) = -16t^2 + \text{initial height} \]
where
- \( t \) is time in seconds.
- \( h(t) \) is height in feet.
**Objective:**
Determine the number of seconds it will take for the camera to hit the ground.
**Equation:**
Plugging in the initial height:
\[ h(t) = -16t^2 + 4096 \]
**Solution:**
To find the time \( t \) when the camera hits the ground, set \( h(t) \) to 0 and solve for \( t \):
\[ 0 = -16t^2 + 4096 \]
Rearranging the equation gives:
\[ 16t^2 = 4096 \]
Dividing both sides by 16:
\[ t^2 = 256 \]
Taking the square root of both sides:
\[ t = \sqrt{256} \]
\[ t = 16 \]
Hence, it will take **16 seconds** for the camera to hit the ground.
#### Input Field:
- **[?] seconds** - Enter the calculated time in seconds into this field.
#### Answer:
16 seconds](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdcee9352-3439-4045-80ac-7707def2f5ae%2F6e5b0edd-191d-4f4c-a017-99c755213773%2Fbuim42u_processed.jpeg&w=3840&q=75)
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