If a freely falling body starts from rest, then its displacement is given by s=1/2gt2. Let the velocity after a time T be vt.
Show that if we compute the average of the velocities with respect to t we get
vavg=1/2vt, but if we compute the average of the velocities with respect to s, we get
vavg=2/3vt.

The blue whale is the largest animal living on the earth. the average blue whale measures 100 feet long (30 meters) and weighs 300,000 pounds (136,000 kilograms). a whale’s head is 1⁄3 of the length of its body. a new baby whale is 1⁄4 the length of a grown whale. the average man is 1⁄17 the length of a blue whale, and 1⁄1,818 its weight. a human baby measures 1⁄4 of the length of an adult. calculate the following information: how long is a whale’s head? how long is a new baby whale? how tall is the average man? how much does the average man weigh? how tall is the average human baby?

When turned about its axis of rotation, which shape could have created this three-dimensional object?

The area (a) of a circle with a radius of r is given by the formula and its diameter (d) is given by d=2r. arrange the equations in the correct sequence to rewrite the formula for diameter in terms of the area of the circle.