Question

eoc style question kay was walking along the bridge above the river. she accidentally lost her grip on her camera when she was trying to get it out to photograph massive bird nests in the trees. the height of the camera above the water can be modeled by the equation $y = -16t^2 + 400$, where $t$ represents the seconds after the camera is dropped. how long will it take before kay sees the splash from the camera hitting the water? seconds

Explanation:

Step1: Set y = 0 (camera hits water)

When the camera hits the water, its height \( y = 0 \). So we set up the equation \( 0 = -16t^2 + 400 \).

Step2: Solve for \( t^2 \)

First, rearrange the equation: \( 16t^2 = 400 \). Then divide both sides by 16: \( t^2 = \frac{400}{16} = 25 \).

Step3: Solve for \( t \)

Take the square root of both sides. Since time \( t \) can't be negative in this context, we take the positive root: \( t = \sqrt{25} = 5 \).

Answer:

5