Suppose an object, like a rock or a ball, is dropped from a height above the ground. As the object falls its downward velocity increases. This means that for each period of time, the object falls, the distance it has fallen also increases. The relationship between the distance the object falls and the time it has fallen (neglecting air resistance) is: d (1) = 5913 where d(() = distance in terms of time. That is, the distance fallen (in this case feet) g = the gravitational constant on Earth (32 feet/second?) t = time (in this case seconds) 1. What is the independent variable for this model? 2. What is the dependent variable for this model? 3. How far will the object fall in 3.25 seconds? Make sure to use correct units in your answer. 4. A person working on the roof of a two-story house drops a paintbrush. It is 35 feet to the ground. When the brush falls, the worker on the roof shouts "Look Out!". A 6 feet tall person is standing directly below where the brush falls. If the reaction time needed for the person on the ground to move away is 1.85 seconds, will they be hit by the paintbrush before they can move out of the way? Good to go