There are multiple ways to earn full credit on your assignments. Along with a correct value, answers are expected to include units and to be in a reasonable notation. Reasonable notation would be an answer that does not have infinite digits (e.g. cannot equal 12389243.9343 joules, but must be written as 12.4 megajoules or 1.2e6 joules)
Explicitly show how you calculate your numbers. To make your calculations using python make sure your units are defined in a variable name (e.g. speed_in_km, time_hour, energy_density_joule_per_kg). The computer may output a long answer full of digits that don't need to be displayed. Make your answer into a reasonable notation by explaining it in a text (markdown) cell at the bottom of your work
You may turn in handwritten equations that show your mathematical reasoning and intention. Handwritten assignments with an image of the work done uploaded onto sagemathcloud. Handwriting must be legible and include units.
Some of you may want to use advanced options for your work. You may use these tools, but we can't provide lots of help or support on these either in this class.
Please show the details of your work to answer these questions.
a) If you drive 20 miles, how many kilometers is that?
1 mile= 1.61 kilometers 20 miles * 1.61 kilometers = 32.2 kilometers
b) My car is traveling at 30 miles per hour, how many meters per second is that?
1 mile= 1.61 kilometers 30 miles 1.61 kilometers = 48.3 kilometers You are traveling 48.3 kilometers_per_hour 1 kilometer = 1000 meters 48.3 kilometers 1000 meters = 483000 meters You are traveling 483000 meters_per_hour or 48.3e4 1 hour= 60 minutes 1 minute= 60 seconds 60 min * 60 sec = 3600 seconds There are 3600 seconds in 1 hour 48.3e4 meters / 3600 seconds = 13.42 meters_per_second
Convert the following numbers to scientific notation.
Perform the following operations using scientific notation.
If the energy use in a country is increasing at 3 percent per year, by what fraction will it increase in 10 years? 1+.03^10 1.34 - 1= .34 or 34 percent increase
The amount of gasoline that a car uses is linearly related to the distance it travels. Write an equation for this relationship for a 2015 Honda Civic. If this car is driven 1000 miles, how much gasoline will it use? gallons_of_gas= miles_driven / miles_per_gallon gallons_of_gas= 1000 * miles_per_gallon 2015 honda civic drives 40 miles_per_gallon gallons_of_gas= 1000 / 40 25 gallons_of_gas