A particle moving along a straight line has initial velocity v(0) = 1 m/s, and acceleration a(t) = sin(II-t) + cos(t+1) (in m/s?). (a. Find the velocity at time t. (b) Find the average velocity during the time interval [I, 21]. (c) Find the distance traveled during the time interval [I, 2I].
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 particle moving along a straight line has initial velocity v(0)
= 1 m/s, and acceleration a(t) = sin(I-t) + cos(t+1) (in
m/s?).
(a.
Find the velocity at time t.
(b)
Find the average velocity during the time interval [I, 211].
(c)
Find the distance traveled during the time interval [1, 2I].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F53b3af1e-c2fe-4b64-9d06-accae5ddaf7d%2Ff7b24c1c-2581-4130-938a-771594b08e26%2Fy2l74ze_processed.png&w=3840&q=75)
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