Oliver takes two identical marbles and drops the first one from a certain height. A short time later, he drops the second one from the same height. How does the distance between the marbles change while they are falling to the ground? Choose the best answer and explanation.

The distance stays the same because both marbles are falling with the same acceleration.

The distance increases because the first marble moves faster than the second marble at every instant of time.

The distance stays the same because the velocities of the marbles are equal at every instant of time.

The distance increases because the first marble moves with greater acceleration than the second marble.

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?