4) Suppose the function s(t) = -4.9t2 + 7 gives the position (in meters) of a particle as a function of time (in seconds). The derivative of the position function represents the velocity of the object. A) Use the definition of a derivative to find the equation that represents the velocity of s(t) at any given point of t. You must show all of your algebra below. B) Use the velocity equation from part A) to find the velocity of the object at t = 1 second. Explain what this means in the context of the problem. Show all of your algebra work.