The terminal speed of a skydiver is 160 km/h in the spread eagle position and 310 km/h in the nosedive position. assuming that the diver’s drag coefficient c does not change from one position to the other, find the ratio of the effective cross-sectional area a in the slower position to that in the faster position.

Engineers find a new metal that is stronger than steel but much lighter. this material is also significantly cheaper than what is currently used for most aircraft, available in large quantities, and easy to manufacture. the engineers are excited because this new material will lower the costs of buying and operating airplanes for companies. what is probably the best step for the engineers to make next?