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{"ops":[{"insert":"In a stunt for an action movie, the 100 kg actor jumps from a train that is crossing a river bridge.\nOn the river below, the heroine tied to a small boat is drifting towards a waterfall at 3 m s\u22121. The small boat and heroine have a total mass of 200 kg.\n(a) If the hero times his jumps perfectly so as to land on the small boat, and his velocity is 12 m s\u22121 at an angle of 80 \u00ba to the river current, what will be the velocity of the small boat immediately after his landing? Draw a vector diagram to show the momentum addition. Ignore any vertical motion.\n(b) If the waterfall is 100 m downstream, and the hero landed when the small boat was 16 m from the bank, would they drop over the fall? Assume the velocity remains constant after the hero has landed. The small boat and the waterfall are on the same side of the bridge as he jumps.\n"}]}
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