4. A roller coaster car starts going down a hill from rest. It accelerates at 4.0 m/s². If it is on the hill for 6.0 s, how fast (in m/s) is it going at the bottom of the 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.
Given Information:-
Initial speed of the roller coaster is
Acceleration of the roller coaster is
The roller coaster is in the hill for
Required:-
Velocity of the roller coaster at the bottom of the hill.
Formula:-
From the kinematic equations relating time, velocity and distance we get,
is the initial velocity, is the final velocity, a is the acceleration and t is the time.
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