The position of a toy car driving on a horizontal surface is given by x = 4.0m - (2.0m/s)*t + (1.5m/s^2 )*t^2 . a. Determine the position of the car at t=1.0s, 2.0s, and 3.0s. b. What is the average velocity over the time interval t=1.0s to t=3.0s?
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 position of a toy car driving on a horizontal surface is given by x = 4.0m - (2.0m/s)*t + (1.5m/s^2 )*t^2 .
a. Determine the position of the car at t=1.0s, 2.0s, and 3.0s.
b. What is the average velocity over the time interval t=1.0s to t=3.0s?
c. What is the instantaneous velocity at t=2.0s?
d. Draw graphs each for the position (x) function versus time, velocity versus time, and acceleration versus time. Hand drawn-graphs are encouraged (for practice for the midterm), though computer generated is allowed as well. Make sure to be very specific in the details (labels, scales, units, where the intercepts are, etc.).
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