Find the slope. Then find the average velocity and acceleration

THEORETICAL BACKGROUND When the only force acting on an object is the force of gravity, of is said to be in free fall. This is true whether the objed is moving up, down, or any combination of the two. Free fall is easily approxinuted by dropping a compact object in air, since air resistance and other forces are weak enough to be ignored. Since the acceleration owing to gravity is constant near the surface of the Earth, we can use the basic motion equations to predict how the object will move. Velocity in the slope of a graph of x 15. I (portion is time). Figure I shows a graph of x us I with three points, There is a curve drawn through the points which represents our best estimate of what the entire function looks like. (The only parts we have actually measured are the three points.) One definition of average slope is "rise over run. "Here that means the change in position over the change in time. But lock carefully. our slope from the triangle doesn't exactly mutch the function It is only a close estimate. If we want to calculate a slope that is closer to the function, we would need to measure two points that are closer together. We can use any two points on the x w. I graph and calculate the average velocity between those two points. In fact, we will get the slope exactly halfway between those two points, In the meph above, we use pints at r = 1 s and r= 2's to find the slope at?= 1 5 4. In the same way, the definition of acceleration in the change in velocity over the change in time, which is the slope of the v w r graph Basic Formulas Average Velocity : NOTE: This average velocity during a time interval is equal to the mutantaneque velocity at the midpoint of the tuna meorval Velocity at to the -how is equalto