A particle’s motion is given by the parametric equations: x = 4t + 7, y = -5t2 +3t + 6 where x and y are in meters and t is in seconds. Part A What is the particle’s displacement (in vector notation) between t = 1 s and t = 2 s? Write the components separated by commas. Part B Express the particle’s velocity (in vector notation) at t = 1 s.
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.
A particle’s motion is given by the parametric equations:
x = 4t + 7,
y = -5t2 +3t + 6
where x and y are in meters and t is in seconds.
Part A
Part B
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