Imagine an athelete that weighs 180 pounds (81.6 kg) is able to jump 20" (0.51 meters) vertically. How high could he jump if he were able to decrease his weight to 170 pounds (77.1 kg)? I think the basic idea here is to find out, given the mass, what force is required to reach the specified height. Then, you would assume the force is constant but the mass is decreased. That yields an increased acceleration for the same force, which leads to a higher max jump. But I haven't figured out the specifics. Any ideas? It would also be nice to know the answer in a more generalized sense, i.e. increase in jump vs. decrease in weight. This is motivated by a real-world scenario of an athelete trying to increase his vertical jump and wanting to know how much improvement can be made simply by losing weight. Thanks for any help!