2. The height of a golf ball after t seconds is given by s(t) = 24t - 4.9t² meters. (a) Find the average (vertical) velocity of the golf ball on the time interval 0 ≤ t ≤ 2 seconds. (b) Find the average (vertical) velocity of the golf ball on the time interval 2.5 ≤ t ≤ 4 seconds. (c) If you've done your calculations correctly, one of your above two answers should be negative. Use a complete sentence to explain what a negative answer means in the context of this problem.

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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.