5) An object moves along a line according to the position function x(t) = 3 + t2 t4. Find the acceleration function. 6) A weight oscillates in a vertical motion according to the position function y(t) = -5 cos t. Assuming t 2 0, when will the acceleration of the weight be zero for the first time?7) An object in free fall has its distance from the ground measured by the function d(t) = 4.9t2 + 50, where dis in meters and t is in seconds. If gravity is the only acceleration affecting the object, what is gravity's constant value (include units in your answer)? 8) The graph of y = f (x) is shown below on the domain [0, 5]. Sketch the graph of y = f"(x) on the same domain. f (x) 6 4 X 2 49) If a function is decreasing with an upward concavity, what do you know about the function's first two derivatives? 10) Use the graph of y = f '(x) shown below to describe the concavity in the graph of y = f (x) on the interval [0, 4]. 4m