EXAMPLE 3 Suppose that a ball is dropped from the upper observation deck of the CN Tower in Toronto, 450 m above the ground. Find the velocity of Time interval Average velocity (m/s) the ball after 7 seconds. 7

You throw a ball of mass 1 kilogram upward from a height of 0 meters with a velocity of a = 23 m/s on Mars, where the acceleration due to gravity is g = 3.711 m/s. (a) Use your calculator to approximate how much longer (in seconds) the ball is in the air on Mars compared to on Earth where g = 9.80 m/s-. (Round your answer to three decimal places.) X S (b) Use your calculator to approximate how much higher (in meters) the ball went on Mars compared to on Earth. (Round your answer to one decimal place.) X m

A circle is inside a square. The radius of the circle is decreasing at a rate of 3 meters per day and the sides of the square are increasing at a rate of 3 meters per day. When the radius is 3 meters, and the sides are 16 meters, then how fast is the AREA outside the circle but inside the square changing? The rate of change of the area enclosed between the circle and the square is square meters per day. Submit Question

The per capita income in Idaho can be modeled by V(t) = 8.9e0.045t thousand dollars, where t measures the years since the start of 1980. Throughout this problem, do not round any number except final answers. (a) When does the per capita income in Idaho reach 35 thousand dollars? Round your answer to one decimal digit. (b) Write out V'(t). (c) How fast is the per capita income in Idaho changing in 1990? Write your answer in a sentence in the context of the question. Round your answer to three decimal digits and include correct units. (d) When is the per capita income in Idaho growing at a rate of 1 thousand dollars per year? Round your answer to 1 decimal digit and include units. (e) Write out V"(t). (f) How fast is the rate of growth of per capita income changing at the start of 2000? Write your answer in a sentence in the context of the question. Round your answer to three decimal digits and include correct units.