A roller coaster cart is initially moving at a speed of 1.80 m/s when it is at height h. When it reaches the top of the loop (r=27.0 cm) it is moving at 2.44 m/s. Calculate the height (h) of the first hill.
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 roller coaster cart is initially moving at a speed of 1.80 m/s when it is at height h. When it reaches the top of the loop (r=27.0 cm) it is moving at 2.44 m/s. Calculate the height (h) of the first hill.


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