motorcycle starts at t = 0 from rest at x = 0 (the origin) and moves along a straight path (x-axis) with an acceleration of +2.8 m/s2. After travelling for 140 m, the rider slows down the motorcycle at 1.2 m/s2 (still going forward along the path) until its velocity is 16 m/s. At that point, he sees/hits a tree.
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 motorcycle starts at t = 0 from rest at x = 0 (the origin) and moves along a straight path (x-axis) with an acceleration of +2.8 m/s2. After travelling for 140 m, the rider slows down the motorcycle at 1.2 m/s2 (still going forward along the path) until its velocity is 16 m/s. At that point, he sees/hits a tree.
(a) Find the velocity and the time when the motorcycle reaches x = 140 m.
(b) How much time and how far does it take the rider to slow down the motorcycle from its velocity at x = 140 m to its final velocity of 16 m/s?
(c) Hence, find the distance between the origin and the tree.
(d) Sketch a well-labelled velocity-time graph from t = 0 to the time that the rider reaches the tree. Point out a relation between the graph and the answer in part (c)
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