The distance travelled by a particle after time t is D(t) = t^3. Sketch the graph of distance D against time t, for t > 0. WITHOUT DOING ANY CALCULATIONS, use your sketch to explain (clearly and explicitly) whether the instantaneous velocity of the particle at t = 2 is greater than or less than the average velocity of the particle between time t = 1 and time t = 2.
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.
The distance travelled by a particle after time t is D(t) = t^3.
Sketch the graph of distance D against time t, for t > 0.
WITHOUT DOING ANY CALCULATIONS, use your sketch to
explain (clearly and explicitly) whether the instantaneous velocity of the particle at t = 2 is greater than or less than the average velocity of the particle between time t = 1 and time t = 2.
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