(i) A particle is launched into the air from the ground with launch speed 8 m/s. The speed of the particle at maximumheight is 4 m/s. Find a) the launch angle. b) maximum height reached by the particle. c) range of the particle.  (ii) In projectile motion, what assumption makes the horizontal speed constant?

(I). The motions of two objects, A and B, are defined by the following vectors: vector A = 6.0622i + 3.500j m/s vector B = 5.9500i - 10.3057j m/s unit vector of bullet = -j Object A and B left at the same time and at the same point. Object A aims to hit object B by firing a bullet in the direction stated above after 20 seconds. a). What should be the velocity of the bullet so that it will hit object B? b). What is the distance between object A and B the moment the bullet hits object B? c). What is the velocity vector of the bullet?

a). (i) When two missiles are projected from the same point with samevelocity but in different directions, find the horizontal distance D, covered in each case, if t and t' are respectively the times of flight.(ii) Prove that the range, R, is 4√(hh'), if h and h' are the greatest heights in the two paths of the missile with a given velocity.