Math 2414 In-class activity section 6.1 P. 1 Please write your solutions on separate sheets of paper. Label with your name and the section 6.1. 1. An object moving back and forth along a horizontal line has velocity in m/s as a function of time t in seconds of v(t) = 12 - 5t + 4 (a) Sketch a graph of v(t). (b) How fast is the object going initially? (c) When is the object moving to the right and when is it moving to the left? (d) Compute / v(t) dt and interpret the results. Be sure to include all ap- plicable units. (e) Calculate how far the object traveled in the first 5 seconds using the funda- mental theorem? Show all of your work. You can check your answer with software but you have to be able to grind through the math manually. (f) Sketch a graph of the object's position as a function of time, s(t) given that the object's initial position was 2 m left of the origin