The position of a ship traveling due east along a straight line is s(t) = 12t2 + 6. in this example, time t is measured in hours and position s is measured in nautical miles. we will take s = 0 to be the port of wilmington, nc and the positive direction to be east. how far east of wilmington is the ship and how fast is it going after one hour, that is, when t = 1?

Total solidification times of three casting geometries are to be compared: a sphere, a cylinder, in which the length-to-diameter ration - 1.0, and a cube. volume = 1000 cm^3 for all three shhapes, and the same casting alloy is used. a) determine the solidification times of each geometry b) based on the results of part (a), which geometric element would make the best riser? c) if the mold constant = 3.5 min/cm^2 in chvorinov's rule, compute the total solidification time for each casting.

Wavelength of 125 meters is moving at a speed of 10 m/s. what is it's frequency?

Asled is being held at rest on a slope that makes an angle θ with the horizontal. after the sled is released, it slidesa distance d1 down the slope and then covers the distance d2 alongthe horizontal terrain before stopping. find the coefficient ofkinetic friction μk between the sled and the ground, assumingthat it is constant throughout the trip. find the coefficient of kinetic frictionμk. express your answer in terms of someor all of the variables d1, d2, and θ.