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In an effort to woo his lady love with a daring stunt, a redheaded delivery boy leaps off of a 12m building into a large, 4 meter tall vat of strawberry pudding. After an eager sprint, he runs straight off the roof with a horizontal velocity of 18.0 miles per hour. (1.000 mi/hr = 0.4470m/s)
a. His robot sidekick notices that the human is going to miss his mark, and must move the vat in order to save his friend's life. How much time does the robot have to act before his friend misses the top of the vat?
b. Where should the center of the vat be in order to ensure that the delivery boy doesn't meet an untimely demise?
c. Initially, the vat is 5m from the wall the boy leaps from. Assuming the Robot pushes the vat from rest with constant acceleration, what is the value of that acceleration needed to get the vat into place in time?
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