3. (20 marks) A shell is shot from the ground at an initial speed of vo and an angle of @o with respect to the horizontal. When the shell reaches its highest point in its trajectory, it explodes into two fragments A and B, which have equal mass. Fragment A has a speed of zero immediately after the explosion. As the explosion is extremely fast, the effect of gravity can be neglected during the explosion. (a) (5 marks) Will the two fragments land at the same time? If not, which one lands first? (b) (5 marks) Will fragment B land at the same location as the original shell if the latter didn't explode? If not, which one lands further away from the launch point? (c) (10 marks) When fragments A and B both land, assume that the distances between their landing points and the launch point are dy and dp, respectively. Find dz/da