A car is moving in a positive direction to the right, at the moment we begin to observe it (consider t = 0 sec), the position of the car is 30 m, it has an initial velocity of 20 m / sec and an initial acceleration of - 36m / sec2, it is known that the rate of change of the acceleration is constant and is 18. a) Find the equations for Acceleration, Velocity, and Position. Make your graphs. b) For what instant of time does the speed of the car take its minimum value, and what is that value? c) In the graph of the position, which represents part “b”, is it a minimum, maximum or an inflection point? What is the value of the position for that instant of time? Justify your answer.
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 is moving in a positive direction to the right, at the moment we begin to observe it (consider t = 0 sec), the position of the car is 30 m, it has an initial velocity of 20 m / sec and an initial acceleration of - 36m / sec2, it is known that the rate of change of the acceleration is constant and is 18.
a) Find the equations for Acceleration, Velocity, and Position. Make your graphs.
b) For what instant of time does the speed of the car take its minimum value, and what is that value?
c) In the graph of the position, which represents part “b”, is it a minimum, maximum or an inflection point? What is the value of the position for that instant of time? Justify your answer.
d) How many times does the car move to the left? Justify your answer.
e) At what instant of time is the value of the position 150?
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