6. A frictionless cart sits on a ramp that is tilted down at an angle of 30.0° from horizontal. The cart is released from rest, with an initial position of * = [0 m] + [0.500 mlj It rolls down the ramp (down and to the right) once it is released, and it's acceleration points down the ramp, parallel to the ramp, with a magnitude of 4.90 m/s². Use a coordinate system where up is +y and to the right is +x. a. What are the x- and y-components of the cart's initial velocity? b. What are the x- and y-components of the cart's acceleration? c. Use your answers to parts a and b to find the cart's position and velocity 1.50 seconds after it is released. Write your answers in unit vector notation.
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.
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