a camera is accidentally dropped from a helicopter at a height of 4,096 ft. if the equation for height as a…

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? ? seconds

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? ? seconds

Answer

Answer:

16

Explanation:

Step1: Set up the equation.

When the camera hits the ground, $h(t)=0$. The initial - height is 4096 ft, so the equation is $0=-16t^{2}+4096$.

Step2: Rearrange the equation.

$16t^{2}=4096$.

Step3: Solve for $t^{2}$.

$t^{2}=\frac{4096}{16}=256$.

Step4: Solve for $t$.

$t = \sqrt{256}=16$ (we take the positive value of $t$ since time cannot be negative in this context).