Problem 3 A rollerblader starts off at initial position x(0) = = 0. Their velocity vs. time graph is depicted below. v(t) [meters/second] 4 3.5 3 2.5 2 1.5 0.5 0 8 10 12 14 16 18 t [seconds] (a) During which time interval was the rollerblader traveling with constant speed? 0 2 4 6 (b) What was the rollerblader's average acceleration between t = 0s and t = 18 s? (c) During which time interval did the rollerblader's acceleration have the largest magni- tude? What was that magnitude? (d) How much distance was covered between t = 6s and t = 8 s? (e) How much distance was covered between t = 8s and t = 10 s? (Hint: if you can determine the acceleration, then one of the kinematic equations will allow you to answer this.) (f) Did the rollerblader ever reverse direction? If so, when did this occur?

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, fo…