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3. (10 pts) Two children are playing with balls as illustrated in the figure. Child #1 throws a

ball vertically up from the ground with initial speed v10 = 6 m/s. At the exact same time,

child #2, throws another ball from height h at an angle = 40° above the horizontal. In the

figure, d = 5 m and h = 1 m. Neglect air resistance and the size of the children. Assume

the acceleration due to gravity has a magnitude of 9.8 m/s².

h

So.. (2)

d

(1)

180

(a) With what initial speed v20 must child # 2 throw their ball for it to strike the other ball

in midair?

Hint: one ball strikes another when their positions are the same.

(b) How much time passes between the moment the balls are thrown and their collision?

(c) At the moment the balls collide, is ball #1 moving up or down? Justify your answer.

Fig: 1