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(8pts) A hot air balloon moves up at constant speed v = 20.0 m/s. When the...

(8pts) A hot air balloon moves up at constant speed v = 20.0 m/s. When the balloon is 20.0 meter above the ground, a cup of lemonade falls out of the balloon. And the balloon continues to move up at a constant speed v = 20.0 m/s. Ignore the air resistance.(a)Describe the motion of the lemonade cup as relative to the ground.(b)Describe the motion of the lemonade cup as relative to the balloon. (c)On the same diagram,plot thev-t graph of the balloon and the v-t diagram of the lemonade cup as relative to the ground. Choose upward as the positive direction, and t=0 when the cup starts to fall out of the balloon.(d)How long does it take for the cup to fall tothe ground?(bonus 1pt) What is the distance between the cup and balloon 1 seconds after the cupis dropped?

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