Solve the problem.Show that a planet in a circular orbit moves with constant speed.
What will be an ideal response?
Kepler's first law says that the eccentricity of a planet's elliptical orbit e = -1. The eccentricity of a circle is 0, and solving for the speed v0 with e = 0 gives v0 =
. Since r0 is a fixed radius for a circular orbit, all three terms for computing v0 are constant, so v0 is also constant.
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Solve the problem.Police use the formula s = to estimate the speed s of a car in miles per hour, where d is the distance in feet that the car skidded and f is the coefficient of friction. If the coefficient of friction on a certain gravel road is 0.28 and a car skidded 330 feet, find the speed of the car, to the nearest mile per hour.
A. 2772 mph B. 99 mph C. 53 mph D. 288 mph
Multiply. Change any mixed number to an improper fraction before multiplying.2 ×
A.
B.
C. 4
D. 2
Find the domain of the function.f(x) = x2 + 8
A. {x|x ? -8} B. {x|x > -8} C. all real numbers D. {x|x ? -8}
Solve the problem.The average weight W (in ounces) of a fish caught in a certain lake is given by where x is the length in inches. Use the graph below to estimate the weight of a fish from the lake that is 14 inches long.
A. 10 ounces B. 14 ounces C. 12 ounces D. 8 ounces