car moves on a straight road such that its position from a reference point is given by the following function: { x(t) = 3 + 5t + 2t2 + 0.4t3, y(t) = 0, z(t) = 0 } where t is in seconds and x in meters. Find the average velocity, in meters per second, in the x-direction between t1 = 0.25 s and t2 = 1.85 s. Find the average acceleration, in meters per second squared, in the x-direction between t1 = 0.25 s and t2 = 1.85 s
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 on a straight road such that its position from a reference point is given by the following function:
{ x(t) = 3 + 5t + 2t2 + 0.4t3, y(t) = 0, z(t) = 0 }
where t is in seconds and x in meters.
Find the average velocity, in meters per second, in the x-direction between t1 = 0.25 s and t2 = 1.85 s.
Find the average acceleration, in meters per second squared, in the x-direction between t1 = 0.25 s and t2 = 1.85 s.
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