An projectile starts at the top of a 40 meter high vertical cliff with an initial speed of 100 meters per second,
moving so that its path has an angle of elevation of .
(a) Determine the angle of elevation which will maximize the number of meters from the base of the cliff that the object lands.
(b) The kinetic energy of an object is given by , where m is the mass of the object and v is the velocity of the object. The potential energy of an object is given by , where h is the height above zero, and g is the acceleration due to gravity. Determine the ratio EK /( EK+EP ) at t =0 for the projectile . Show that this ratio is the same as the square of the tangent of the angle that you found in part (a).