A car moves along a circular track of radius 250 ft, and its speed for a short period of time 0 < t <2 seconds is v = 3(t + t2) ft/s, where t is in seconds. Determine the magnitude of the car’s acceleration (ft/s2) when t = 2 seconds. How far (ft) has it traveled in t = 2 seconds? Show all necessary math and include all units.
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 car moves along a circular track of radius 250 ft, and its speed for a short period of time 0 < t <2 seconds is v = 3(t + t2) ft/s, where t is in seconds. Determine the magnitude of the car’s acceleration (ft/s2) when t = 2 seconds. How far (ft) has it traveled in t = 2 seconds? Show all necessary math and include all units.
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