A particle moves on a straight line with the acceleration shown in the graph. Draw the v-t and x-t curves. Assume that the initial velocity is 3 ft/s and the initial displacement is zero. Determine the farthest distance the particle will travel from the origin and the total distance travelled at 4 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.
The topic is all about Graphical Solution of Rectilinear Motion Problems. Please show the complete solution. Use pen and paper to solve.
![A particle moves on a straight line with the acceleration shown in the graph. Draw the v-t and x-t
curves. Assume that the initial velocity is 3 ft/s and the initial displacement is zero. Determine the
farthest distance the particle will travel from the origin and the total distance travelled at 4 s.
+2
tume (s)
3
-2
acceleration (ft/s²)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F48119016-2548-4a1b-86d2-f63070d3a371%2Ff5a13687-155c-40c9-b894-e40f4f460978%2Fp0z4vl_processed.png&w=3840&q=75)
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