You are driving on the interstate, keeping up with the speed of traffic. Suddenly, you are hit with torrential rains. You cannot

Question

You are driving on the interstate, keeping up with the speed of traffic. Suddenly, you are hit with torrential rains. You cannot feel the road beneath your tires anymore. You cannot steer. Your brakes are not working as they normally do. What just happened?! You are hydroplaning. When a car hydroplanes, it drives on top of a layer of water. Since it has lost contact with the roadway, it cannot easily change direction or stop. Hydroplaning usually occurs at high speeds on roads with deep puddles. Engineers have determined a formula that predicts when hydroplaning will occur: v = 10.35√p, where v is the speed (in miles per hour) at which a car will hydroplane, and p is the tire pressure (in PSI). This means that cars with underinflated tires are more likely to hydroplane. Your task: answer the following questions and show all your work. 1. Mike is driving a Toyota Camry. He's inflated his tires to the dealer- recommended level of 32 PSI. At what speed will Mike's car start hydroplaning?

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