The particle is moving along a stright path such that its velocity at any time t is given by v = 24t -6t2 where v is in m/s. (a) What is the average velocity from t = 1 s to = 3 s? (b) what is the acceleration at t = 3s? (c) what is the average acceleration from t = 1 s to t = 3 sec? (d) When does the particle change its direction of motion? (e) what is the distance covered from t = 1 s to t = 5s
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 particle is moving along a stright path such that its velocity at any time t is given by v = 24t -6t2 where v is in m/s. (a) What is the average velocity from t = 1 s to = 3 s? (b) what is the acceleration at t = 3s? (c) what is the average acceleration from t = 1 s to t = 3 sec? (d) When does the particle change its direction of motion? (e) what is the distance covered from t = 1 s to t = 5s
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