1)  Determine the average rate of change between r = 10 000 km and r = 15 000 km. 2)  Determine the instantaneous rate of change at r = 15 000 km.   3) How much energy must be given to the satellite if r = 12 000 km?

1. A tennis ball is dropped from the top of a building that is 1545 feet tall, with an initial velocity of -30.5 feet per second. Use the position function s(t)=-16t^2+v0t+s0 to help you answer the given questions. a.Write the equations of the position and instantaneous velocity functions. b. What is the average velocity over the first two seconds? c.When does the coin hit the ground? Round your answer to two decimal places. d.What is the velocity of the coin upon impact? 2.find all the values of x for which f(x) will have a horizontal tangent line f(x)=(x-4)/(x^2-7) 3. Find the derivative of the function. g(x)=4x(3x+2)^5 4.

A television camera at ground level is 2000 ft away form a launching pad of a space rocket that is set to take off vertically. The angle of elevation is given by ? = tan−1( ?2000). Find the rate of change of the angle of elevation after launch when the camera and the rocket are 5000 ft apart

The position of a car is given by the values in the table. t (seconds) 0 s (feet) 1 3 4 5 0 10 32 70 119 178 Find the average velocity for the time period beginning when t = 2 and lasting (1) 3 seconds, (2) 2 seconds, (3) 1 second (Using the graph, one can estimate the instantaneous velocity when t = 2 to be about 28 ft/s.) (1) 59 ft/s (2) 28 ft/s (3) 28 ft/s ...