Unit 3 Radicals Partner Performance Task SHOW ALL WORK!

The velocity v (in meters per second) of a tsunami can be modeled by the function v(x)=9.8x, where x is the water depth (in meters).a

Information has just come in via satellite that a tsunami has been located off Hilo, Hawaii at an ocean depth of 4,500 meters.

What is the velocity of the tsunami in meters per second?

National authorities are trying to establish how much preparation time San Francisco, CA will have.

How many kilometers is it from Hilo, Hawaii to San Francisco, CA? What source did you use?

How many meters is it from Hilo, Hawaii to San Francisco, CA? (1 kilometer = 1000 meters)

How many seconds will the tsunami take to hit San Francisco, CA?

How many minutes will the tsunami take to hit San Francisco, CA?

How many hours will the tsunami take to hit San Francisco, CA?

Use Desmos to graph the function for velocity of a tsunami v(x)=9.8x.
,.
Sketch the graph.

Using the graph, at approximately what depth does the speed reach 240 m/s? (Mark your point on the graph)

Set up an equation and show your steps to solve: At what depth does the speed reach 240 m/s?

Using your answer from #9 and your computer, name a place that is approximately that deep? How deep is it? What source did you use?

Score: /15

9/15 = 60% (minimum score to be entered into Summit)