Fnd the length of the indicated portion of the curve. r(t) (t cost)i+(-tsin tj+ 3/2k Osts The length of the indicated portion of the curve is (Type an exact answer, using as needed.) units.

Near the surface of the moon, the distance that an object falls is a function of time. It is given by d(t)=2.6667t2 , where t is in seconds and d(t) is in feet. If an object is dropped from a certain height, find the average velocity of die object from t=1tot=2 .

For the following exercises, use Kepler’s Law, which states that the square of the time, T, required for a planet to orbitthe Sun varies directly with the cube of the mean distance. a. that the planet is from the Sun. 46. Using the Earth’s time of 1 year and mean distance of93 million miles, find the equation relating T and a.