work or explain. 2. You are driving directly behind a pickup truck and you are moving at the same speed as the truck. The truck goes over a small bump...
Show your work and/or explain your answers. Include correct units with any numerical results. Relax and do well!
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1.
A swimmer wishes to swim from one end of the golden gate bridge to the other. There is a current of water flowing from the ocean into the bay (perpendicular to the length of the bridge) at a rate of 0.550 m/s.
a) If the swimmer can ordinarily swim through still water at a speed of 0.950 m/s, at what angle should she aim? (Include a good vector diagram with your answer.)
b) How many times longer will her trip take compared to a trip taken when there was no current? Show work or explain.
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0.55 m/s Current
Golden Gate Bridge
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2.
You are driving directly behind a pickup truck and you are moving at the same speed as the truck. The truck goes over a small bump, and a crate falls from the bed of the truck to the road. Will your car hit the crate before the crate hits the road if you neither brake nor swerve? Explain your answer assuming that air resistance is negligible.
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3.
a) A construction worker stands near a building and throws a box of nails onto the roof as shown below. If the nails are thrown at 7.50 m/s at an angle of 62.0 degrees above horizontal, find the horizontal distance they will travel before landing on the roof. (See picture below.)
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b) If the box of nails were thrown a little bit slower, they would not go as high and would land nearer the edge of the roof. What is the minimum speed at which the box of nails could be thrown and still make it up to the roof? (Assume they are thrown at an angle of 62 degrees.)
