An object moves according to a law of motion, where, its position is described by the following function, s = f(t) = t4 - 4t + 1. The time t is measured in seconds and s in meter. a. Sketch the velocity graph and determine when is the object moving in the positive direction. b. Draw a diagram of the motion of the object and determine the total distance traveled during the first 6 seconds.

An object moves according to a law of motion, where, its position is described by the following function, s = f(t) = t4 - 4t + 1. The time t is measured in seconds and s in meter. a. Sketch the velocity graph and determine when is the object moving in the positive direction. b. Draw a diagram of the motion of the object and determine the total distance traveled during the first 6 seconds.