A car travels along a straight line. Its distance, x, from a reference point as a function of time, t, is: x(t) = αt^2 − βt 3 Where: α = 1.50 m/s^2 , β = 0.00500 m/s^3 , t is in s Calculate the average velocity of the car for each time interval: (a) t = 1.50 to t = 2.00 s; (b) t = 0 to t = 3.50s; (c) t = 1.00 s to t = 4.00 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 car travels along a straight line. Its distance, x, from a reference point as a function of time,
t, is: x(t) = αt^2 − βt
3 Where: α = 1.50 m/s^2
, β = 0.00500 m/s^3
, t is in s
Calculate the average velocity of the car for each time interval:
(a) t = 1.50 to t = 2.00 s;
(b) t = 0 to t = 3.50s;
(c) t = 1.00 s to t = 4.00 s;
(d) t = 0.50 s to t = 2.50 s.
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