1. Roller Coaster Many roller coasters use brakes midway through the ride so that the coaster doesn't go too fast through the final curves and into the station. One such roller coaster applies the brakes while the coaster is in a tunnel. The tunnel is 55 meters long, and the braking force is described by the following function: F = Ae-Br In the braking function, z is measured in meters, and z = 0 is defined to be the start of the tunnel. Also, A and B are constants, A=95,000N and B=0.15m-¹ If the 1200 kg roller coaster enters the tunnel at 35 m/s, what is its exit speed?
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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