4. Looking at your force graph , you notice something about the restoring force exerted by your how that is quite different from a linear spring for large extensions .What is this difference from a linear spring and why might the how be designed for this to happen ? (Hint : Imagine yourself holding the bow and trying to aim the arrow as you keep the string stretched .) 5. A friend helping you out looks at your Force versus distance graph and says , "Hey , the force decreases after about 0.3 meters , so pulling it back any further just reduces the Work you've done ." You look at the graph and say to your friend : 5. Write an analytic expression for the Work done during the interval described by your first three data points and simplify as much as possible . Call the Force values F1, F 2, and F3, and the uniform spacing between distance measurements d. (Hint : consider the trapezoid shown below , on the right .) A = 1/2(h1+h2)w Now , if you simplified your expression for the Work for three data points , you should see a pattern in terms of end points and middle points . How would you modify your expression to add a fourth data point (F 4), also a spacing d apart