A car’s velocity as a function of time is given by v_x (t)=α+βt^2, where α=3.00 m/s and β=0.10 m/s^3. (a) Calculate the average acceleration for the time interval t=0 s to t=5.00 s. (b) Calculate the instantaneous acceleration for t=0 s and t=5.00 s. (c) Draw vx"-" t and ax"-" t graphs for the car’s motion.
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 car’s velocity as a function of time is given by v_x (t)=α+βt^2, where α=3.00 m/s and
β=0.10 m/s^3. (a) Calculate the average acceleration for the time interval t=0 s to t=5.00 s.
(b) Calculate the instantaneous acceleration for t=0 s and t=5.00 s. (c) Draw vx"-" t and ax"-" t graphs for the car’s motion.
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