In your neighborhood, people are setting up a downhill soapbox derby race. As a safety measure, bales of hay are set up at the bottom of the hill as a barricade to stop cars and drivers. At what point on the car’s path will it have the most kinetic energy? A) at the very top of the hill B) at the midpoint of the hill C) at the very bottom of the hill D) after it collided with the hay

You are the coordinator for a program that is going to take place at night in a rectangular amphitheater in the mountains. you will have no access to any electricity, but you must be able to illuminate the entire grounds. you know the intensity of the light from a lantern varies inversely as the square of the distance from the lantern. suppose the intensity is 90 when the distance is 5 m. a. write an equation to model the situation. b. solve for the constant of variation. c. write the equation to model the situation using the constant () of variation. d. you have been given lanterns with 40 light intensity. use your equation to solve for the distance from the lantern. e. you need to illuminate 225 km. how many meters do you need to light? f. how many lanterns will you need?