2. (21 Points) (3) (b) ((0 Fill in the blanks in the following statement of the Fundamental Theorem of Calculus: If f (:3) 18011 the interval [61,, b] and _= f(:1:), then / f(x)d Suppose that the velocity of an object in meters / sec is given by the function v(t) at time t seconds. Suppose also that v(t) satises the rst condition of the FTC a from part (a). What does the value of the integral / v(t) dt represent in terms (2 of the motion of the object? Give units. Suppose that the velocity of the object is given by v(t ) 4t + 8 meters/ sec at 4 time 13 seconds. Compute [111C ) dt and [4 |v(t) | dt I recommend you draw 0 graphs and use those but you can use the FTC instead if you prefer Give units Explain what your answers mean about the motion of the object between t 0 and t = 4 seconds. Suppose that the acceleration of an object in meters / see2 is given by the function a(t) at time t seconds. Suppose also that a(t) satises the rst condition of the d FTC from part (a). What does the value of the integral / a(t) dt represent in terms of the motion of the object? Give units