6. A car is headed into town along a straight highway (x-0m is the center of town), and its position is given by the following equation. x(t)- 300 – 120t+20 a) What do the 300, -120 and 20 mean in the above equation? b) Using the derivative method find the equation for the velocity of the particle. c) Using the derivative method find the equation for the acceleration of the particle. d) At what time will the car come to rest? e) Has the car reached the center of town at that time? If not how far away is it?
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) and (b) already answered.
(a):
300 is position of car at t=0
-120 shows velocity
20 shows acceleration
(b): v = -120 + 40t
Need help answering (c), (d), (e).
Step by step
Solved in 2 steps
