Show all calculations, with units! According to the article The 20 Steepest Hills in Seattle on...

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Show all calculations, with units! According to the article "The 20 Steepest Hills in Seattle" on the Seattle P-I website, "East Highland Drive between 24th and 25th avenues east on Capitol Hill has an 18 percent grade." This translates to a slope of 10.2. a. Draw a Free-Body diagram of your car as you drive up this hill. (It doesn't have to be to scale.) b. Do the trick where we rotate our axes to line up with the slope, and use Newton's 2nd Law to find net force equations in both the x and y directions. Break forces into components as necessary. c. Use these two equations to derive an expression for the maximum possible acceleration of your car up the hill. Remember that expressions should be in terms of variables and symbols, with no numbers plugged in yet. d. If the coefficient of static friction between your tires and the road is s-1.0, what is the maximum acceleration your car can have up this hill? e. If the road is wet (us 0.7), what is the maximum possible acceleration up the hill? f. If there is snow and ice on the road (us = 0.1), can you even make it up the hill? Show all calculations, with units! According to the article "The 20 Steepest Hills in Seattle" on the Seattle P-I website, "East Highland Drive between 24th and 25th avenues east on Capitol Hill has an 18 percent grade." This translates to a slope of 10.2. a. Draw a Free-Body diagram of your car as you drive up this hill. (It doesn't have to be to scale.) b. Do the trick where we rotate our axes to line up with the slope, and use Newton's 2nd Law to find net force equations in both the x and y directions. Break forces into components as necessary. c. Use these two equations to derive an expression for the maximum possible acceleration of your car up the hill. Remember that expressions should be in terms of variables and symbols, with no numbers plugged in yet. d. If the coefficient of static friction between your tires and the road is s-1.0, what is the maximum acceleration your car can have up this hill? e. If the road is wet (us 0.7), what is the maximum possible acceleration up the hill? f. If there is snow and ice on the road (us = 0.1), can you even make it up the hill?