what is the maximum range obtainable by a person

Three balls are launched simultaneously, as in the figure. The red ball is launched at an initial velocity Vodirected at an angle & above the horizontal. The blue ball is launched vertically with a speed of 10.3 m/s, and the yellow ball is launched horizontally with a speed of 5.20 m/s. The blue and red balls reach identical maximum heights and return to the ground at the same time, and the red ball returns to the ground to meet the yellow ball at the same place along the horizontal. Find (a) the launch speed vo and (b) the launch angle for the red ball. hmax 10.3m/s VO A 5.20 m/s (a) Number i (b) Number i Units Units

An inflatable raft (unoccupied) floats down a river at an approximately constant speed of 3.9 m/s. A child on a bridge, 66 m above the river, sees the raft in the river below and attempts to drop a small stone onto the raft. The child releases the stone from rest. In order for the stone to hit the raft, what must be the horizontal distance between the raft and the bridge when the child releases the stone?

During a test, a rocket travels upward at 75m/s, and when it is 40mfrom the ground its engine fails. Determine the maximum heightreached by the rocket and its speed just before it hits the ground.Neglect the effects of air resistance.