1. The problem statement, all variables and given/known data Q.1 A ball is thrown with speed v from the edge of acliff of height h. Assume that the ground below the cliff is horizontal. At what inclination angle should it be thrown so that it travels the maximum horizontal distance? Q.2 An airplane has a speed of v and a range(out and home) of flight of Rin calm waether. Show that innorth blowing wind ofspeed w, it's range becomes (the eq. given below),in a direction whose true bearing is [tex]\theta[/tex]. Find the direction in which the range is maximum and the value of the maximum range. 2. Relevant equations Q.1 2v2sin2[tex]\theta[/tex]/g Q.2 the given eq: R' = R(v2 - w2)/v sqrt( v2 - w2 sin2 [tex]\theta[/tex] ) 3. The attempt at a solution Q.1 I tried to divide it into two parts, the part above and the part below the cliff. The Range for the part above the cliff is easy,which is 2v2sin2[tex]\theta[/tex]/g . But for the part below it, it's really complicated, I tried to do it but finding the time of flight by solving a quadtratic equation, then multiplying the horizontal component of the velocity to obtain the range. When I add up the two parts, I diffrentiate the range with respect to theta, which gave me a very complicated equation that I can't solve for any values of theta. Q.2 I tried to slove it by using relative velocity but I am getiing nowhere near the answer. Is there any other way?