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 (in seconds) before Kay sees the splash from the camera hitting the water.

1 answer

To find the time it takes before Kay sees the splash from the camera hitting the water, we need to find when y = 0 in the equation.

0 = -16t^2 + 400

Solving for t:

16t^2 = 400

t^2 = 25

t = ±5

Since time cannot be negative, we can disregard the negative solution.

Therefore, it will take 5 seconds before Kay sees the splash from the camera hitting the water.