The velocity of a particle is given by v = [15t²i + 5t³j+ (6t + 2)k] m/s, where t is in seconds. If the particle is at the origin when t = 0, determine: 1. The particle's acceleration when t = 4 secs. 2. The particle's position at that instant. 3. The particle's coordinates at that instant.
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 velocity of a particle is given by v = [15t²i + 5t°j+(6t +2)k] m/s, where t is in seconds. If the particle is at the
origin when t = 0, determine:
1. The particle's acceleration when t = 4 secs.
2. The particle's position at that instant.
3. The particle's coordinates at that instant.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F49ea170f-c400-4dea-83a4-94d214262709%2F7c907258-7964-4d5c-9359-d8e87d06646d%2Fd889iuc_processed.png&w=3840&q=75)
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