Gravitational acceleration on the moon is one sixth of that on earth. a ball released from rest above the surface falls from height d in a time of t = 1.1 seconds. a) write an expression for the final velocity vf of the ball when it impacts the surface of the moon assuming it is dropped from rest. this expression should be in terms of only, g (gravitational acceleration on earth) and time, tb) calculate the final velocity, vf, numerically in m/sc) calculate the height, d (in meters) from which the ball was droppedd) from how high up would this ball need to be dropped on the earth, de (in meters), if it took the same time to reach the ground as it did on the moon?

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?