A particle is moving in a straight line with its position given by x=(8.5m/s^2)t^2 + 6.0m. Calculate. a) The instantaneous velocity at t1=3.00s and t2=5.00s. b) It's average acceleration during the interval from t1=3.00s to t2=5.00s. c) Its instantaneous acceleration as a function of time.
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 is moving in a straight line with its position given by x=(8.5m/s^2)t^2 + 6.0m. Calculate.
a) The instantaneous velocity at t1=3.00s and t2=5.00s.
b) It's average acceleration during the interval from t1=3.00s to t2=5.00s.
c) Its instantaneous acceleration as a function of time.
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