₂ Q3 [Type C]: A spaceship is traveling through deep space with the following velocity vector as a function of time: = (2t î+ 4tĵ+ 6tk) m/s, where t is in seconds. Given the initial position of the spaceship is To= (20 - 50 - 100 k) m, at what time is the spaceship the closest to the origin? Also, what is the acceleration of the spaceship at this instant? Express the acceleration in Cartesian vector form. Note: k is the unit vector in the z-direction.
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.
![Q3 [Type C]: A spaceship is traveling through deep space with the following velocity vector as a function
of time: = (2t î+ 4tĵ+ 6t k) m/s, where t is in seconds. Given the initial position of the spaceship is
To = (20 - 50 - 100 k) m, at what time is the spaceship the closest to the origin? Also, what is the
acceleration of the spaceship at this instant? Express the acceleration in Cartesian vector form.
Note: k is the unit vector in the z-direction.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F195a38c0-76a3-4b93-804b-72d24ccc8fdf%2F8d76b456-c255-4f11-a5f6-5c3b7301c973%2Fg677ml_processed.jpeg&w=3840&q=75)
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