Question

A swimmer dives from the platform into the water to begin a race. the path of the swimmer is modeled by the funtion h(t)= 8/9t^2-16/3t 4, h(t) is measured in ft and t is measured in second. when does the swimmer go into water?

Answer 1

The swimmer goes into the water at t = 3 seconds.

Step-by-step explanation:

The path of the swimmer can be modeled by the equation h(t) = 8/9t^2 - 16/3t + 4, where h(t) represents the height of the swimmer above the water and t represents time in seconds.

To determine when the swimmer goes into the water, we need to find the time when h(t) is equal to zero, since that represents the height at which the swimmer is at the water level.

Setting h(t) = 0 and solving for t, we get:

8/9t^2 - 16/3t + 4 = 0

Simplifying this equation and solving for t, we find that the swimmer goes into the water at t = 3 seconds.