Question

When a person weighing 145 pounds dives into a pool their path can be modeled by the equation y=2x^2-16x+14 where y is the height/depth of the person's head x seconds after leaving the diving platform. a. Draw a detailed sketch of the scenario that is modeled by the given formula.Graph such that the x-values go from 0 to 10 and y-values go from -20 to 20.b. In this model, why does it make sense for height to be negative?c. How deep does the pool need to be for the person to avoid hitting their head?d. How long before the diver resurfaces?

Answer 1

a. Graph

b. In this case, the reason for the negative sign is that it is a person submerged in water, i.e. the body approaches the ground, then the height decreases.

c.