If a rock is thrown upward on the Moon with an initial velocity of 43 meters per second and from initial height of 1.8 meters, then its height, in meters, t seconds later is given by the function h(t) = 1.8 + 43t - 0.81t² A. Determine the average velocity of the rock over the time interval [3, 3.5]. Input the numerical value. Include appropriate units on paper. Average velocity over [3, 3.5]: B. Using successively smaller time intervals, estimate the instantaneous velocity of the rock at t = 3. Input the numerical value. Include appropriate units on paper. Instantaneous velocity at t = 3:

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.