a. The position of an object is given by x(t) = A + B*t + C*t³ (yes, those exponents are intentional, this is NOT constant acceleration). Provided that x is measured in meters and t in seconds, what must be the units for the constants A, B, and C. b. Another position function is given by y(t) =D + E*t1+ F*t3/2), What are its velocity, and acceleration functions with time? c. Bonus: choose and declare your values for D, E and F, and make graphs of y(t), vy(t), and a,(t). Don't forget appropriate units at each step.
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.
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