A turtle crawls along the x-axis. The equation for the turtle’s position as a function of time is given by X(t) = 50 cm + (2 cm/s)t – (0.0625 cm/s2)t2. Calculate: a) initial position, initial velocity and initial acceleration; b) at what time t is the turtle’s velocity equal to zero; c) How long after starting does it take the turtle to return to its starting point?
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 turtle crawls along the x-axis. The equation for the turtle’s position as a function of time is given by X(t) = 50 cm + (2 cm/s)t – (0.0625 cm/s2)t2. Calculate: a) initial position, initial velocity and initial acceleration; b) at what time t is the turtle’s velocity equal to zero; c) How long after starting does it take the turtle to return to its starting point? d) at what times t is the turtle a distance of 10 cm from its starting point? what are the magnitude and direction of velocity of the turtle at these times?
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