A car travels in a straight line along a road. Its distance x from a stop sign is given as a function of time t by the equation x(t)=at2-ßt³, where a = 2.25 m/s2 and B = 0.0550 m/s³. Calculate the average velocity of the car for the time interval to = 0 to t = 3.0 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.
 alt="A car travels in a straight line along a road. Its distance x from a stop sign is given as a function of
time t by the equation x(t)=at2-Bßt3, where a = 2.25 m/s² and B = 0.0550 m/s³. Calculate the
average velocity of the car for the time interval to = 0 tot = 3.00 s .
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