(Solved):     1. You've been hired by a movie production to apply your physics knowledge to a s ...

 

 

1. You've been hired by a movie production to apply your physics knowledge to a scene that will be filmed soon. In the movie, the main actor will be standing on a bridge holding a bag of paint while cars pass beneath the bridge. The actor needs to release the bag of paint at just the right time so that it strikes a particular car while the car is moving. You know the following pieces of information: - Horizontal distance from the bridge to the car at time \( t=0 \) is \( D \). - Speed of the car at time \( t=0 \) is \( v_{0} \). - The car is slowing down the entire time: the magnitude of its acceleration \( a \). - Vertical distance from the bridge to the car is \( \mathrm{H} \). car is \( \mathrm{H} \). A. At what time \( t_{\text {release }} \) should the actor release the bag of paint so that it strikes the car while the car is passes directly under the bridge (still moving forward, of course!)? It's a pretty messy answer, so be organized! (Hint: my first step would be to find the amount of time it would take the bag of paint to fall a distance \( \mathrm{H} \) while neglecting air resistance.) B. Now that you did the problem algebraically, let's come up with some reasonable numbers: - \( D=40.0 \mathrm{~m} \) - \( v_{0}=30.0 \mathrm{~m} / \mathrm{s} \) - \( a=2.00 \mathrm{~m} / \mathrm{s}^{2} \) - \( \mathrm{H}=5.00 \mathrm{~m} \) What time \( t_{\text {release }} \) should the bag be released? Write your answer to 3 sig figs. You are encouraged to share your numerical answer to #homework-help in Slack if you want to check with others.