1. The position of the bumper of a moving car is given by x(t) = a + bt² – d® where a = 2.17 m, b = 4.80 m/s², and c = 0.100 m/s“. Find the (a) position and (b) acceleration at the instants when the car has v, = 0 m/s. (c) Suppose a_(t) = a + bl² – c°, find z(t). %3D
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.
![1. The position of the bumper of a moving car is given by x(t) = a + bt² – c® where a = 2.17 m,
b = 4.80 m/s², and e = 0.100 m/s®. Find the (a) position and (b) acceleration at the instants
when the car has vz = 0 m/s. (c) Suppose a,(t) = a + bt² – ct®, find x(t).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff7f043e3-d9ca-4508-8ea3-07e8270347b9%2Fa3711e7e-f86e-4b5a-a19b-81f3d99aa578%2Fd38y3nl_processed.png&w=3840&q=75)
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