A motorcyclist heading east through a small town accelerates at a constant 4 m/s^2 after he leaves the city –limits signpost(shown in Figure). At time t=0 he is 5m east of the city –limits signpost while he moves at 15 m/s. (a)Find his position from the signpost at t =4 s. (b)Find his velocity at t=4 s. (c)Where is he(how far from the signpost)when his speed is 35m/s? (d) Plot the position of the motorcyclist from the signposts as a function of time showing the important features(you don’t need to calculate numerically).
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 motorcyclist heading east through a small town accelerates at a constant 4 m/s^2 after he leaves the city –limits signpost(shown in Figure). At time t=0 he is 5m east of the city –limits signpost while he moves at 15 m/s.
(a)Find his position from the signpost at t =4 s.
(b)Find his velocity at t=4 s.
(c)Where is he(how far from the signpost)when his speed is 35m/s?
(d) Plot the position of the motorcyclist from the signposts as a function of time showing the important features(you don’t need to calculate numerically).
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