3. The position of an object at time t is given by: r(t)=e¹i+e'j-t√2k, 0≤t<∞ a. Determine the velocity and the speed of the object at time t b. Determine the acceleration of the object at time t c. Find the distance that the object travels during the time interval 0≤t<∞
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.
![3. The position of an object at time t is given by: r(t)=e¹i+e'j-t√√2k, 0≤t<∞
a. Determine the velocity and the speed of the object at time t
b. Determine the acceleration of the object at time t
c. Find the distance that the object travels during the time interval 0<t<∞](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F66f4da1e-847b-4b88-b6c9-6c1db3829f53%2F0e454783-0497-4bf3-aae3-447a6002f97f%2Fv39yhvn_processed.png&w=3840&q=75)
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