A particle moving along a straight line will be s centimetres from a fixed point at time t seconds, where t > 0 and s = 27t^3 + 16/t + 10 a. Determine when the velocity will be zero. b. Is the particle accelerating? Explain.
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 will be s centimetres from a fixed
point at time t seconds, where t > 0 and s = 27t^3 + 16/t + 10
a. Determine when the velocity will be zero.
b. Is the particle accelerating? Explain.
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