2 Problem Norm the Niner throws up a football with a speed v0 = 10 m/s and at an angle relative to the vertical on a windy day. The wind affects the football by creating a horizontal acceleration of 0.7 m/s² to the left (the wind has no vertical acceleration). At what angle must the ball be thrown so that its path forms a loop and returns to Norm? Assume no drag acts on the football. [Hint: because the football follows a "loop" the velocity profile will be antisymmetric, such that the veloc- ity vector at the end (when catching the ball at some time T) is the negative of the velocity vector when initially throwing the ball. There is a particular angle 0 that makes this true. You should also review your trignometric identities, since one is needed for this problem.] Ao vo WIND

4. The Wright brothers used a very thin wing on their 1903 flyer. In addition, they made extensive use of a homebuilt wind tunnel to test their wing designs. span, b chord, c Model of Wright Flyer (a) The Wright's wind-tunnel models had chord length, c, of about 0.04 m and wing span (length) of 0.26 m. The wind tunnel operated at approximately the same wind speed as the full-scale aircraft - about 13 m/s. Estimate the drag (friction) of a single wind-tunnel model wing under standard conditions (o = 1.225 kg/m³, = 1.7894 x 10-³ kg/s-m). Note that the wing is mounted in the wind tunnel so that both upper and lower surfaces are exposed to the flow. (b) The full-scale 1903 flyer had a chord length of 1.9 m and a wing span of 12.3 m. Estimate the drag (friction) of a single full-scale Wright flyer wing flying at 13 m/s under standard atmospheric conditions. (c) Consider the main wing configuration, which consisted of two wing surfaces (biplane) connected by 18¹ cylindrical rods. We will…

All this with steeps

A certain lake is proposed as a landing area for large jet aircraft. The touchdown speed of 100 mph upon contact with the water is to be reduced to 20 mph  in a distance of 1500 ft. If the deceleration is proportional to the square of the velocity of the aircraft throug the water, a=-kv^2 , find the value of the design parameter k . This parameter serves as a measure of the size and shape of the landing gears vanes that plow through the water. Also, determine the time elapsed during the spedified interval. (1 mile=5280 ft)