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?

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Displacement, Velocity and Acceleration

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.

Linear Displacement

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, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.